{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Gaussian Mixture Model\n",
    "\n",
    "This tutorial demonstrates how to marginalize out discrete latent variables in Pyro through the motivating example of a mixture model. We'll focus on the mechanics of parallel enumeration, keeping the model simple by training a trivial 1-D Gaussian model on a tiny 5-point dataset. See also the [enumeration tutorial](http://pyro.ai/examples/enumeration.html) for a broader introduction to parallel enumeration.\n",
    "\n",
    "#### Table of contents\n",
    "\n",
    "- [Overview](#Overview)\n",
    "- [Training a MAP estimator](#Training-a-MAP-estimator)\n",
    "- [Serving the model: predicting membership](#Serving-the-model:-predicting-membership)\n",
    "  - [Predicting membership using discrete inference](#Predicting-membership-using-discrete-inference)\n",
    "  - [Predicting membership by enumerating in the guide](#Predicting-membership-by-enumerating-in-the-guide)\n",
    "- [MCMC](#MCMC)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "from collections import defaultdict\n",
    "import torch\n",
    "import numpy as np\n",
    "import scipy.stats\n",
    "from torch.distributions import constraints\n",
    "from matplotlib import pyplot\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "import pyro\n",
    "import pyro.distributions as dist\n",
    "from pyro import poutine\n",
    "from pyro.infer.autoguide import AutoDelta\n",
    "from pyro.optim import Adam\n",
    "from pyro.infer import SVI, TraceEnum_ELBO, config_enumerate, infer_discrete\n",
    "\n",
    "smoke_test = \"CI\" in os.environ\n",
    "assert pyro.__version__.startswith('1.9.1')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Overview\n",
    "\n",
    "Pyro's [TraceEnum_ELBO](http://docs.pyro.ai/en/dev/inference_algos.html#pyro.infer.traceenum_elbo.TraceEnum_ELBO) can automatically marginalize out variables in both the guide and the model. When enumerating guide variables, Pyro can either enumerate sequentially (which is useful if the variables determine downstream control flow), or enumerate in parallel by allocating a new tensor dimension and using nonstandard evaluation to create a tensor of possible values at the variable's sample site. These nonstandard values are then replayed in the model. When enumerating variables in the model, the variables must be enumerated in parallel and must not appear in the guide. Mathematically, guide-side enumeration simply reduces variance in a stochastic ELBO by enumerating all values, whereas model-side enumeration avoids an application of Jensen's inequality by exactly marginalizing out a variable.\n",
    "\n",
    "Here is our tiny dataset. It has five points."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = torch.tensor([0.0, 1.0, 10.0, 11.0, 12.0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Training a MAP estimator\n",
    "\n",
    "Let's start by learning model parameters `weights`, `locs`, and `scale` given priors and data. We will learn point estimates of these using an [AutoDelta](http://docs.pyro.ai/en/dev/infer.autoguide.html#autodelta) guide (named after its delta distributions). Our model will learn global mixture weights, the location of each mixture component, and a shared scale that is common to both components. During inference, [TraceEnum_ELBO](http://docs.pyro.ai/en/dev/inference_algos.html#pyro.infer.traceenum_elbo.TraceEnum_ELBO) will marginalize out the assignments of datapoints to clusters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "K = 2  # Fixed number of components.\n",
    "\n",
    "\n",
    "@config_enumerate\n",
    "def model(data):\n",
    "    # Global variables.\n",
    "    weights = pyro.sample(\"weights\", dist.Dirichlet(0.5 * torch.ones(K)))\n",
    "    scale = pyro.sample(\"scale\", dist.LogNormal(0.0, 2.0))\n",
    "    with pyro.plate(\"components\", K):\n",
    "        locs = pyro.sample(\"locs\", dist.Normal(0.0, 10.0))\n",
    "\n",
    "    with pyro.plate(\"data\", len(data)):\n",
    "        # Local variables.\n",
    "        assignment = pyro.sample(\"assignment\", dist.Categorical(weights))\n",
    "        pyro.sample(\"obs\", dist.Normal(locs[assignment], scale), obs=data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To run inference with this `(model,guide)` pair, we use Pyro's [config_enumerate()](http://docs.pyro.ai/en/dev/poutine.html#pyro.infer.enum.config_enumerate) handler to enumerate over all assignments in each iteration. Since we've wrapped the batched Categorical assignments in a [pyro.plate](http://docs.pyro.ai/en/dev/primitives.html#pyro.plate) indepencence context, this enumeration can happen in parallel: we enumerate only 2 possibilites, rather than `2**len(data) = 32`. Finally, to use the parallel version of enumeration, we inform Pyro that we're only using a single [plate](http://docs.pyro.ai/en/dev/primitives.html#pyro.plate) via `max_plate_nesting=1`; this lets Pyro know that we're using the rightmost dimension [plate](http://docs.pyro.ai/en/dev/primitives.html#pyro.plate) and that Pyro can use any other dimension for parallelization."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "optim = pyro.optim.Adam({\"lr\": 0.1, \"betas\": [0.8, 0.99]})\n",
    "elbo = TraceEnum_ELBO(max_plate_nesting=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Before inference we'll initialize to plausible values. Mixture models are very succeptible to local modes. A common approach is to choose the best among many random initializations, where the cluster means are initialized from random subsamples of the data. Since we're using an [AutoDelta](http://docs.pyro.ai/en/dev/infer.autoguide.html#autodelta) guide, we can initialize by defining a custom ``init_loc_fn()``."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "seed = 13, initial_loss = 25.665584564208984\n"
     ]
    }
   ],
   "source": [
    "def init_loc_fn(site):\n",
    "    if site[\"name\"] == \"weights\":\n",
    "        # Initialize weights to uniform.\n",
    "        return torch.ones(K) / K\n",
    "    if site[\"name\"] == \"scale\":\n",
    "        return (data.var() / 2).sqrt()\n",
    "    if site[\"name\"] == \"locs\":\n",
    "        return data[torch.multinomial(torch.ones(len(data)) / len(data), K)]\n",
    "    raise ValueError(site[\"name\"])\n",
    "\n",
    "\n",
    "def initialize(seed):\n",
    "    global global_guide, svi\n",
    "    pyro.set_rng_seed(seed)\n",
    "    pyro.clear_param_store()\n",
    "    global_guide = AutoDelta(\n",
    "        poutine.block(model, expose=[\"weights\", \"locs\", \"scale\"]),\n",
    "        init_loc_fn=init_loc_fn,\n",
    "    )\n",
    "    svi = SVI(model, global_guide, optim, loss=elbo)\n",
    "    return svi.loss(model, global_guide, data)\n",
    "\n",
    "\n",
    "# Choose the best among 100 random initializations.\n",
    "loss, seed = min((initialize(seed), seed) for seed in range(100))\n",
    "initialize(seed)\n",
    "print(f\"seed = {seed}, initial_loss = {loss}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "During training, we'll collect both losses and gradient norms to monitor convergence. We can do this using PyTorch's `.register_hook()` method."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "...................................................................................................\n",
      "..................................................................................................."
     ]
    }
   ],
   "source": [
    "# Register hooks to monitor gradient norms.\n",
    "gradient_norms = defaultdict(list)\n",
    "for name, value in pyro.get_param_store().named_parameters():\n",
    "    value.register_hook(\n",
    "        lambda g, name=name: gradient_norms[name].append(g.norm().item())\n",
    "    )\n",
    "\n",
    "losses = []\n",
    "for i in range(200 if not smoke_test else 2):\n",
    "    loss = svi.step(data)\n",
    "    losses.append(loss)\n",
    "    print(\".\" if i % 100 else \"\\n\", end=\"\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pyplot.figure(figsize=(10, 3), dpi=100).set_facecolor(\"white\")\n",
    "pyplot.plot(losses)\n",
    "pyplot.xlabel(\"iters\")\n",
    "pyplot.ylabel(\"loss\")\n",
    "pyplot.yscale(\"log\")\n",
    "pyplot.title(\"Convergence of SVI\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pyplot.figure(figsize=(10, 4), dpi=100).set_facecolor(\"white\")\n",
    "for name, grad_norms in gradient_norms.items():\n",
    "    pyplot.plot(grad_norms, label=name)\n",
    "pyplot.xlabel(\"iters\")\n",
    "pyplot.ylabel(\"gradient norm\")\n",
    "pyplot.yscale(\"log\")\n",
    "pyplot.legend(loc=\"best\")\n",
    "pyplot.title(\"Gradient norms during SVI\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here are the learned parameters:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "weights = [0.625 0.375]\n",
      "locs = [10.984464    0.49901518]\n",
      "scale = 0.6514337062835693\n"
     ]
    }
   ],
   "source": [
    "map_estimates = global_guide(data)\n",
    "weights = map_estimates[\"weights\"]\n",
    "locs = map_estimates[\"locs\"]\n",
    "scale = map_estimates[\"scale\"]\n",
    "print(f\"weights = {weights.data.numpy()}\")\n",
    "print(f\"locs = {locs.data.numpy()}\")\n",
    "print(f\"scale = {scale.data.numpy()}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The model's `weights` are as expected, with about 2/5 of the data in the first component and 3/5 in the second component. Next let's visualize the mixture model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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2bPz9/encubPdfeW3Nm3aEBYWxqVLl9iyZQsjR46kfv36lClThjVr1rB3715KlSpFkyZN7O67RYsWmQqOUaNG5dtw8Nk9zjd6/PPTjbadH8/n3MqP+2/btm22D/z//PNPpj1+uZWamprl8qtHE824b2fNmoW/v/817a9X2F/JnvslP59TGbfnoYce4pFHHsmyjSNMWSEimam4EhGHMmvWLADbB8+Mw9BcXV3zvFC59dZbufXWW/m///s/5syZw4MPPsh3333HY489lmX7Kw8VupqzszMPPPAAX331FWPHjmXBggXXHLaUlSpVqgAQERGR6ZC7pKQkDh06lOvbfL2sbdu25csvv+S7774jNTWV1q1b4+TkRJs2bWzFVevWrW3Zy5cvT8mSJYmIiLimr/DwcJycnGzf6n/77bdcunTJdn3GbapRowYbN24kOTkZV1fXLHNVqVKFZcuWcfHixUzf/oeHh9uuz0snT568Zgjvf//9F8B2uGGVKlXYuXMnVqs1096r3GbKr+fz9R7vghIfH8+gQYOoW7curVu3Zty4cdxzzz20aNHC1uZ6OX18fK6ZoDspKYlTp07laPsZe4L8/PxM+VIjp8/fKlWqYLVabXtzM1z9+soYSTA1NdUhv6QRkazpsEARcRjLly/n3XffpVq1ajz44INA2gelDh06MH369Cw/ZF09xHpOXLhw4ZpvnBs3bgxw3UMDMz6EX/0BMMPDDz/MhQsXeOKJJ4iLi+Ohhx66YZbOnTvj5ubGhAkTMmX64osviImJ4e67775hH/ZmzTjcb+zYsTRs2NB22FPbtm0JCwtj8+bNtjaQVjh26dKFhQsXZhrSPCoqijlz5tCmTRu8vLwAuO222+jcubPtklFM3HvvvZw9e5ZJkyZdkyfjdt91112kpqZe0+bjjz/GYrFw55135uq+yE5KSkqmc4KSkpKYPn065cuXp1mzZrZMkZGRzJs3L9N6EydOpFSpUrRv396ubebH8xnSHu/snpcF5dVXX+Xo0aN8/fXXfPTRR1StWpVHHnkk02vqes/LGjVq2M4FzPDZZ59lu+fqaqGhoXh5efH+++9neS5lbu/bnMrp8zfj54QJEzK1++STTzL97ezszL333suPP/7Irl27rtleft8eEckd7bkSEVP88ccfhIeHk5KSQlRUFMuXL2fp0qVUqVKFX375JdMEvpMnT6ZNmzY0aNCAIUOGUL16daKioli/fj3Hjx9nx44ddm3766+/ZsqUKdxzzz3UqFGDixcvMmPGDLy8vLjrrruyXS/jA/frr79Ov379cHV1pXv37rYPjE2aNKF+/frMnz+fOnXq0LRp0xtmKV++PCNGjODtt9+ma9eu9OjRg4iICKZMmUKLFi1yVKBdL+vQoUMJDQ3F2dmZfv36AWmHnfn7+xMREZFpgIl27drx6quvAmQqrgDee+89li5dSps2bXj66adxcXFh+vTpJCYmMm7cuBvmGTBgAN988w3Dhw9n06ZNtG3blvj4eJYtW8bTTz9Nz5496d69Ox07duT111/n8OHDNGrUiCVLlrBw4UKGDRt2zTkqNysgIICxY8dy+PBhateuzbx589i+fTufffaZbe/a448/zvTp0xk4cCBbtmyhatWq/PDDD6xdu5ZPPvnkmvNrciKvn8+Q9nhPnTqV9957j5o1a+Ln50enTp3s7ie3li9fzpQpUxg1apTtef/ll1/SoUMH3nzzTdtzpHHjxjg7OzN27FhiYmJwd3enU6dO+Pn58dhjj/Hkk09y7733cscdd7Bjxw7+/PNPfH19c5TBy8uLqVOn8vDDD9O0aVP69etH+fLlOXr0KL///ju33XZblsV9Xsnp87dx48b079+fKVOmEBMTQ+vWrQkLC2P//v3X9DlmzBhWrFhBSEgIQ4YMoW7dupw/f56tW7eybNmya+YfExEHUODjE4pIsZYx3HHGxc3NzfD39zfuuOMO49NPP800hPaVDhw4YAwYMMDw9/c3XF1djVtuucXo1q2b8cMPP1zT99VDrK9YsSLT8M9bt241+vfvb1SuXNlwd3c3/Pz8jG7duhmbN2/OtB5ZDA397rvvGrfccovh5OSU5bDs48aNMwDj/ffft+t+mTRpkhEcHGy4uroaFSpUMJ566injwoULmdrYMxR7SkqK8dxzzxnly5c3LBbLNcOy9+nTxwCMefPm2ZYlJSUZJUuWNNzc3IxLly5d0+fWrVuN0NBQo1SpUkbJkiWNjh07GuvWrcvxbUxISDBef/11o1q1aoarq6vh7+9v3HfffZmGd7948aLxwgsvGAEBAYarq6tRq1Yt44MPPsg0NLZhpD02zzzzTKZlGcNRf/DBB5mWZzz+8+fPty1r3769Ua9ePWPz5s1Gq1atDA8PD6NKlSqZ5vrKEBUVZQwaNMjw9fU13NzcjAYNGlwz5HV2287IevXzKC+fz4aRNtz43XffbZQuXdoArjssuz33U3Y5rhyKPTY21qhSpYrRtGnTTEO4G0basPFOTk7G+vXrbctmzJhhVK9e3XB2ds50O1JTU41XX33V8PX1NUqWLGmEhoYa+/fvz3Yo9uymUlixYoURGhpqeHt7Gx4eHkaNGjWMgQMHXvP6vlp2/Wb3unvkkUcMT0/PTMty+vy9dOmSMXToUKNcuXKGp6en0b17d9scf1c/V6KiooxnnnnGCAwMtL1ubr/9duOzzz6ztdFQ7CKOw2IYBXCGr4hIMfHpp5/ywgsvcPjw4WtGHRPH0aFDB86ePZvl4VYiIiK5pXOuRETyiGEYfPHFF7Rv316FlYiISDGkc65ERG5SfHw8v/zyCytWrOCff/5h4cKFZkcSERERE6i4EhG5SWfOnOGBBx6gTJky/O9//6NHjx5mRxIRERET6JwrERERERGRPKBzrkRERERERPKAiisREREREZE8oHOusmC1Wjl58iSlS5fGYrGYHUdERERERExiGAYXL14kICAAJ6fr75tScZWFkydPEhgYaHYMERERERFxEMeOHaNSpUrXbaPiKgulS5cG0u5ALy8vk9OIiIiIiIhZYmNjCQwMtNUI16PiKgsZhwJ6eXmpuBIRERERkRydLqQBLURERERERPKAiisREREREZE8oOJKREREREQkD6i4EhERERERyQMqrkRERERERPKAiisREREREZE84BDF1eTJk6latSoeHh6EhISwadOmbNvOmDGDtm3b4uPjg4+PD507d76m/cCBA7FYLJkuXbt2ze+bISIiIiIixZjpxdW8efMYPnw4o0aNYuvWrTRq1IjQ0FBOnz6dZfuVK1fSv39/VqxYwfr16wkMDKRLly6cOHEiU7uuXbty6tQp22Xu3LkFcXNERERERKSYshiGYZgZICQkhBYtWjBp0iQArFYrgYGBPPfcc7z22ms3XD81NRUfHx8mTZrEgAEDgLQ9V9HR0SxYsCBXmWJjY/H29iYmJkaTCIuIiIiIFGP21Aam7rlKSkpiy5YtdO7c2bbMycmJzp07s379+hz1kZCQQHJyMmXLls20fOXKlfj5+REUFMRTTz3FuXPnsu0jMTGR2NjYTBcRERERERF7mFpcnT17ltTUVCpUqJBpeYUKFYiMjMxRH6+++ioBAQGZCrSuXbvyzTffEBYWxtixY1m1ahV33nknqampWfYxevRovL29bZfAwMDc3ygRERGRIio1Pp4P7r6bfpUrc2zjRrPjiDgcF7MD3IwxY8bw3XffsXLlSjw8PGzL+/XrZ/u9QYMGNGzYkBo1arBy5Upuv/32a/oZMWIEw4cPt/0dGxurAktEREQkg2HAggU4DR/O0sOHWQrsaNeONTt34hsUZHY6EYdh6p4rX19fnJ2diYqKyrQ8KioKf3//6647fvx4xowZw5IlS2jYsOF121avXh1fX1/279+f5fXu7u54eXlluoiIiIgIHP7rL861awe9e2M5fJiX00/FCE9K4u5mzYjL4dFGIsWBqcWVm5sbzZo1IywszLbMarUSFhZGq1atsl1v3LhxvPvuuyxevJjmzZvfcDvHjx/n3LlzVKxYMU9yi4iIiBQXD911F6P++gvD3R3eeIM7jhxhz6+/Us5iYVN8PL3r1SNR56uLAA4wFPvw4cOZMWMGX3/9NXv37uWpp54iPj6eQYMGATBgwABGjBhhaz927FjefPNNZs6cSdWqVYmMjCQyMpK4uDgA4uLiePnll9mwYQOHDx8mLCyMnj17UrNmTUJDQ025jSIiIiKF0brp01l78SIzgdi1a+Hdd6FUKep068aiL77AE1h6/jwD6tfHmpJidlwR05leXPXt25fx48czcuRIGjduzPbt21m8eLFtkIujR49y6tQpW/upU6eSlJTEfffdR8WKFW2X8ePHA+Ds7MzOnTvp0aMHtWvXZvDgwTRr1ow1a9bg7u5uym0UERERKYw+fOcdAPrXqoV3s2aZrms5aBA/vf8+rsD3x46x8PXXTUgo4lhMn+fKEWmeKxERESnu9i1bRtAdd2AAuxcupG6PHlm2m9y5M5awMPp17UrZP/4o2JAiBcCe2kDFVRZUXImIiEhx93T9+kzdvZu7y5fnt9Ons2+4Zw/UqwcuLnDiBPj5FVxIkQJQaCYRFhERERHHc2bvXr7cvRuAl/73v+s3rlsXWrSAlBSYM6cA0ok4LhVXIiIiIpLJtGee4TLQrGRJ2g8desP28f37Mx0Y9O67+Z5NxJGpuBIRERGR/1y6xDM7d/J/wMinn8bidOOPi5e7d2co8NX58+z4/vt8jyjiqFRciYiIiMh/Zs2i7Llz/K9KFXqMHp2jVcrVrEmPW24B4OuxY/MznYhDU3ElIiIiIv+ZNy/t57PPpg1SkUOPPPooALO3bSM5ISE/kok4PBVXIiIiIgJAwpkz3LdiBVOBlLvusmvd0Ndeo4KTE2cMg8U53OMlUtSouBIRERERAFZPm8aPhsFYZ2ecg4PtWte1ZEkeatIEgK9mzsyPeCIOT8WViIiIiACwZMECAO6oWTNHA1lc7ZERIwD49eRJzu3bl5fRRAoFFVciIiIiAsDS9Lmtuth5SGCGBvfey60lStABOP3bb3kXTKSQUHElIiIiIpzcsoVdiYlYgE5PPZXrftY99hhLgDoHDuRZNpHCQsWViIiIiLB02jQAmnt6Uq5WrVz3Y2nfPu2XVavyIpZIoaLiSkRERERYumwZAF0aNbq5jtq1AyBy1y4Sjh272VgihYqKKxEREZHizmrl0smTOAN33H//zfVVvjw9SpWiIrBkypS8SCdSaKi4EhERESnudu7kx6QkzpcsyW1Dhtx0d7dUrgzAqj//vOm+RAoTFVciIiIixd2SJQB4deyIS8mSN91d+9tvB2BVePhN9yVSmKi4EhERESnm4v/4I+2XLl3ypL92AwcCsP3SJWKOHs2TPkUKAxVXIiIiIsVYwtmz+K1cSQhwISQkT/oMaNqUmq6uGMBfM2fmSZ8ihYGKKxEREZFibM306SQAJ52dKdOiRZ71275aNQBWZ+wVEykGVFyJiIiIFGNhCxcCcEf16lic8u6jYbv0+a5W7d6dZ32KODoVVyIiIiLF2KZ//wWgzW235Wm/HQcN4jFg2KVLEBeXp32LOCoVVyIiIiLFlDUlhS0xMQC06NYtT/sObNWKGVWq0M9qhfXr87RvEUel4kpERESkmPp3yRLigBJAnbvvzvsNtGuX9nPVqrzvW8QBqbgSERERKaY2//orAE1Kl8bFwyPP+09p04ZNwLc//JDnfYs4IhezA4iIiIiIOSqdOUN/oGGDBvnS/+Hq1QkB3CIi6H3+PCXKls2X7Yg4Cu25EhERESmmOpw6xRzgtaeeypf+a3TqRAUnJ5KA7dp7JcWAiisRERGR4iglBbZtS/u9efN82YTFyYmm5coBsG358nzZhogjUXElIiIiUgyd37CB8EuXsHp6Qu3a+badJrVqAbBt+/Z824aIo1BxJSIiIlIMLZw5kzrA3W5ukIeTB1+tya23ArDt2LF824aIo1BxJSIiIlIMbd60CYD6NWrk63aapA/x/k9CAskJCfm6LRGzqbgSERERKYb+PnwYgOatW+frdqq1a4cXkATsXbQoX7clYjYVVyIiIiLFTFJcHDvi4wFo3rNnvm7LycWFz+vUYRVQ68KFfN2WiNlUXImIiIgUM7sWLiQJKGOxUL1Dh3zfXp8uXWgHlNi9O9+3JWImFVciIiIixczmP/4AoLmPD5Z8HMzCpkmTtJ8ZQ7+LFFEqrkRERESKmc2bNwPQPCioQLaXWK8e3wCvbNiANSWlQLYpYgYVVyIiIiLFzIOpqbwJdOvWrUC251S3Lo8DHyQlcWj16gLZpogZVFyJiIiIFCeXLtH+8GHeAW57+OEC2aRryZLUL1kSgG2//14g2xQxg4orERERkeJk505ISQE/P6hUqcA22yQwEIBtGzYU2DZFCpqKKxEREZFi5O8ff+R34EyDBmCxFNh2mzRuDMC2ffsKbJsiBU3FlYiIiEgx8vmvv9IN+PTy5QLdbpNOnQDYdu5cgW5XpCCpuBIREREpRnadOAFAg2bNCnS7DXv1wgJEWq2c2rGjQLctUlBUXImIiIgUE4bVyq6LFwGon74nqaB4+vkR5OYGwM5ffy3QbYsUFBVXIiIiIsXE8b//JhZwBWrdfnuBb39Ox46cALoU4LleIgVJxZWIiIhIMbHrzz8BCHJ3x61UqQLffpPbbycAsGzfXuDbFikIKq5EREREioldGzcCUL9CBXMCNGmS9nPbNnO2L5LPHKK4mjx5MlWrVsXDw4OQkBA2bdqUbdsZM2bQtm1bfHx88PHxoXPnzte0NwyDkSNHUrFiRUqUKEHnzp3Zp2E/RUREpJjbFR4OQP1atUzZvrVRI0YC3Q8cIPb4cVMyiOQn04urefPmMXz4cEaNGsXWrVtp1KgRoaGhnD59Osv2K1eupH///qxYsYL169cTGBhIly5dOJE+8g3AuHHjmDBhAtOmTWPjxo14enoSGhrK5QIeclRERETEkYzw8GAW0LN7d1O271S+PF84OfEbsGfxYlMyiOQni2EYhpkBQkJCaNGiBZMmTQLAarUSGBjIc889x2uvvXbD9VNTU/Hx8WHSpEkMGDAAwzAICAjgxRdf5KWXXgIgJiaGChUq8NVXX9GvX78b9hkbG4u3tzcxMTF4eXnd3A0UERERcQSpqVCqFFy+DPv2Qc2apsS4o1w5lp0/zxcDB/Lol1+akkHEHvbUBqbuuUpKSmLLli107tzZtszJyYnOnTuzfv36HPWRkJBAcnIyZcuWBeDQoUNERkZm6tPb25uQkJAc9ykiIiJS5Bw8mFZYlSgB1aqZFqNe5coA7P7nH9MyiOQXU4urs2fPkpqaSoWrTqqsUKECkZGROerj1VdfJSAgwFZMZaxnT5+JiYnExsZmuoiIiIgUJVsXLmQC8HeVKuDsbFqOuvXqAbDnyBHTMojkF9PPuboZY8aM4bvvvuPnn3/Gw8Mj1/2MHj0ab29v2yUwMDAPU4qIiIiY7/c//uB5YHJysqk56t12GwC7L1wwNYdIfjC1uPL19cXZ2ZmoqKhMy6OiovD397/uuuPHj2fMmDEsWbKEhg0b2pZnrGdPnyNGjCAmJsZ2OXbsWG5ujoiIiIjD2pU+cnL94GBTc9QJDQXgWGqqRgyUIsfU4srNzY1mzZoRFhZmW2a1WgkLC6NVq1bZrjdu3DjeffddFi9eTPPmzTNdV61aNfz9/TP1GRsby8aNG7Pt093dHS8vr0wXERERkaJkV/pIzPVvvdXUHGWrV8ffyYmSwJFVq0zNIpLXXMwOMHz4cB555BGaN29Oy5Yt+eSTT4iPj2fQoEEADBgwgFtuuYXRo0cDMHbsWEaOHMmcOXOoWrWq7TyqUqVKUapUKSwWC8OGDeO9996jVq1aVKtWjTfffJOAgAB69epl1s0UERERMU1ibCz/JiYCUD99z5GZtrVujd9ff+GUlGR2FJE8ZXpx1bdvX86cOcPIkSOJjIykcePGLF682DYgxdGjR3Fy+m8H29SpU0lKSuK+++7L1M+oUaN46623AHjllVeIj4/n8ccfJzo6mjZt2rB48eKbOi9LREREpLD6d+lSUgBv4JZmzcyOg3/TpvDXX7Bnj9lRRPKU6fNcOSLNcyUiIiJFydznnuOBSZO4rXRp/nKEUZGnT4cnn4Q774RFi8xOI3JdhWaeKxERERHJf7u2bgWgfqVKJidJc9zXl75AlxUrzI4ikqdMPyxQRERERPLXa2XK0B0ofc89ZkcBoETDhnwPcPkyF0+donTFimZHEskT2nMlIiIiUsSVDg/nVqDeHXeYHQWAcrVqUSH9nPrwJUtMTiOSd1RciYiIiBRl8fFw8GDa7/XqmZvlCvW8vQHYvWaNyUlE8o6KKxEREZEibO/vv/McMMfLC8qXNzuOTd3087/27NxpchKRvKPiSkRERKQI27B4MZOAmc7OZkfJpG76XrQ9R46YnEQk76i4EhERESnC9u7aBUAdBxkpMEO91q0B2H3+vMlJRPKOiisRERGRIizi2DEAgoODTU6SWd3QUFyB0ikpJEdHmx1HJE+ouBIREREpwsLPnQMgqHlzk5Nk5lu7Ngnly7MTcN2/3+w4InlCxZWIiIhIEZWckMDB5GQAgjp0MDdMFlzq10/7Zc8ec4OI5BEVVyIiIiJF1IFVq0gBPIFbmjUzO8616tZN+6niSooIFVciIiIiRdS+tWsBqF2iBE4ONlogQJiTE82BfrNmmR1FJE+4mB1ARERERPJHdy8vzgDnOnUyO0qWXGrUYAtw4fRps6OI5AntuRIREREpqiIi8AWCWrQwO0mW6nbpAsChlBQSzp41OY3IzbO7uFqxYkV+5BARERGRvBYenvbTwYZhz1C+Th3KWiwYwL7ly82OI3LT7C6uunbtSo0aNXjvvfc4lj5vgoiIiIg4nv6bN/MicN7f3+wo2Qry9AQgYv16k5OI3Dy7i6sTJ07w7LPP8sMPP1C9enVCQ0P5/vvvSUpKyo98IiIiIpILZyMi+C4piY8A9zp1zI6TraD0wi9i506Tk4jcPLuLK19fX1544QW2b9/Oxo0bqV27Nk8//TQBAQEMHTqUHTt25EdOEREREbFDRPphdpWdnfH08zM5TfaCa9YEIPzAAZOTiNy8mxrQomnTpowYMYJnn32WuLg4Zs6cSbNmzWjbti27d+/Oq4wiIiIiYqeITZsACPL2NjnJ9dVr2pTagP+lS2ZHEblpuSqukpOT+eGHH7jrrruoUqUKf/75J5MmTSIqKor9+/dTpUoV+vTpk9dZRURERCSHItIn5g2qVMnkJNfX7eGHiQA+TEgAwzA7jshNsXueq+eee465c+diGAYPP/ww48aNo379+rbrPT09GT9+PAEBAXkaVERERERyLvzoUQCCg4JMTnID1auDszPExcHJk3DLLWYnEsk1u4urPXv2MHHiRHr37o27u3uWbXx9fTVku4iIiIiJIs6fByCoeXOTk9yAmxtUr46xbx+pe/bgouJKCjG7DwscNWoUffr0uaawSklJYfXq1QC4uLjQvn37vEkoIiIiInZJvXyZM+kjOQd37Ghymht72WqlLPDZF1+YHUXkpthdXHXs2JHz6d+EXCkmJoaOheDFKyIiIlLUOR85wlngZIkS3NKsmdlxbszHh2ggImPSY5FCyu7iyjAMLBbLNcvPnTuHZ/okcCIiIiJioogILEDF4GAsTjc1OHSBCKpbF4CI48dNTiJyc3J8zlXv3r0BsFgsDBw4MNNhgampqezcuZPWrVvnfUIRERERsU/GHqDgYHNz5FBQy5bwzTeER0ebHUXkpuS4uPJOnyPBMAxKly5NiRIlbNe5ublx6623MmTIkLxPKCIiIiJ2GTl3Lv8Az7q6crvZYXIguFMnAI6mpnLp/HlKlC1rciKR3MlxcfXll18CULVqVV566SUdAigiIiLioMIOHGAd0K9MGbOj5IhvUBA+FgsXDIN9y5fT8L77zI4kkiu5Gi1QhZWIiIiI44qIiwMgqJCcsmFxciIo/fNlxLp1JqcRyb0c7blq2rQpYWFh+Pj40KRJkywHtMiwdevWPAsnIiIiIvY5GxHBOcMAoFYhGsm5Q7Vq+PzzD97nzpkdRSTXclRc9ezZ0zaARa9evfIzj4iIiIjchIjlywGo7OyMp5+fyWlybvQDD8CIEZCaanYUkVzLUXE1atSoLH8XEREREccSsWkTAEHpg5EVGkFBaT8jIszNIXIT7D7n6tixYxy/Yg6CTZs2MWzYMD777LM8DSYiIiIi9gvfvRuA4EqVTE5ip/Rh48/v3YthtZocRiR37C6uHnjgAVasWAFAZGQknTt3ZtOmTbz++uu88847eR5QRERERHIu6dw5SgJBGXuCConUqlWpCJSLj+fU9u1mxxHJFbuLq127dtGyZUsAvv/+exo0aMC6dev49ttv+eqrr/I6n4iIiIjY4RNXVy4CQwYNMjuKXZxLlKCUqysA4elf5IsUNnYXV8nJybbBLZYtW0aPHj0ACA4O5tSpU3mbTkRERERyLjkZDhzACXBr0MDsNHYL9vEBIGLzZpOTiOSO3cVVvXr1mDZtGmvWrGHp0qV07doVgJMnT1KuXLk8DygiIiIiOXTwIKSkgKcn3HKL2WnsFhQYCEBEeLjJSURyx+7iauzYsUyfPp0OHTrQv39/GjVqBMAvv/xiO1xQRERERAreom+/pSEwolQpuM68pI4qqG5dAMKvGDxNpDDJ0VDsV+rQoQNnz54lNjYWn/RdtwCPP/44JUuWzNNwIiIiIpJzuzZv5h+gvoeH2VFyJahFC5g1i4joaLOjiOSK3cUVgLOzc6bCCqBq1ap5kUdEREREcil8/34AgqpVMzlJ7gR36gTAkZQULp0/T4myZU1OJGIfuw8LjIqK4uGHHyYgIAAXFxecnZ0zXURERETEHBGRkQAEN2xocpLcKV+nDj1dXHgGuLRnj9lxROxm956rgQMHcvToUd58800qVqyIpRAezysiIiJSFEXExQEQ1Lq1yUlyx+LkxILmzWHDBtAo1FII2V1c/fXXX6xZs4bGjRvnQxwRERERyY2zERGcMwwAaqcfXlcoBQWlFVcREWYnEbGb3YcFBgYGYqS/cEVERETEMUQsXw5AZWdnSpYvb3KamxAURCxwaMsWs5OI2M3u4uqTTz7htdde4/Dhw/kQR0RERERy4/KBA9QDGl016Fhh81tcHN7A/UuWmB1FxG52F1d9+/Zl5cqV1KhRg9KlS1O2bNlMF3tNnjyZqlWr4uHhQUhICJs2bcq27e7du7n33nupWrUqFouFTz755Jo2b731FhaLJdMlODjY7lwiIiIihcntTk7sAhb27Wt2lJtSPSQEgIiEBAyr1eQ0Ivax+5yrrAqa3Jo3bx7Dhw9n2rRphISE8MknnxAaGkpERAR+fn7XtE9ISKB69er06dOHF154Idt+69Wrx7Jly2x/u7jkasR5ERERkcIj/RwlS506Jge5OTU6dMAJuAhE7txJRZ3nL4WI3VXHI488kmcb/+ijjxgyZAiDBg0CYNq0afz+++/MnDmT11577Zr2LVq0oEWLFgBZXp/BxcUFf3//PMspIiIi4uiM8HAskDYgRCHm7uVFdVdX9icnE758uYorKVTsPiwQ4MCBA7zxxhv079+f06dPA/DHH3+we/fuHPeRlJTEli1b6Ny5839hnJzo3Lkz69evz00sm3379hEQEED16tV58MEHOXr06E31JyIiIuLIkhMSKPvvvzQFLhSBL5iD0s8bi9i82eQkIvaxu7hatWoVDRo0YOPGjfz000/Epc+nsGPHDkaNGpXjfs6ePUtqaioVKlTItLxChQpEpk+AlxshISF89dVXLF68mKlTp3Lo0CHatm3LxYsXs10nMTGR2NjYTBeRwmLu3G3cc88BHn4Ytm0zO42IiJjh4KpVRAP/At6F/LBAgKDAQADC9+41OYmIfewurl577TXee+89li5dipubm215p06d2LBhQ56Gy40777yTPn360LBhQ0JDQ1m0aBHR0dF8//332a4zevRovL29bZfA9Be0iCP78stNVKjQnQceaMqCBSOZPRuaNoV77knip592mR1PREQKUMRffwFQu0QJnJydTU5z84Lr1gUg4vhxk5OI2Mfu4uqff/7hnnvuuWa5n58fZ8+ezXE/vr6+ODs7ExUVlWl5VFRUnp4vVaZMGWrXrs3+/fuzbTNixAhiYmJsl2PHjuXZ9kXyWkqKlRo1BvDooyGcPv0b4ES1ai7072/FYoEFC77i3nsb0qDBM1itmpNORKQ4iNi+HYCgwjy/1RVadujAE0DhHvdQiiO7i6syZcpw6tSpa5Zv27aNW265Jcf9uLm50axZM8LCwmzLrFYrYWFhtGrVyt5Y2YqLi+PAgQNUrFgx2zbu7u54eXlluog4qv79p3Dw4CzAmRo1BvLnn+EcPPg1c+Y48c8/ULPmbsBg164pPProTLPjiohIAQjftw+A4OrVTU6SNxrdfTfTgIHnzsHly2bHEckxu4urfv368eqrrxIZGYnFYsFqtbJ27VpeeuklBgwYYFdfw4cPZ8aMGXz99dfs3buXp556ivj4eNvogQMGDGDEiBG29klJSWzfvp3t27eTlJTEiRMn2L59e6a9Ui+99BKrVq3i8OHDrFu3jnvuuQdnZ2f69+9v700VcTh//vkvP/zwCgD33fcJ+/d/SZcutWzX16sH+/Z9yl13jQPg669fYO3aI6ZkFRGRghORfr56UIMGJifJI35+UKYMGAakF44ihYHdxdX7779PcHAwgYGBxMXFUbduXdq1a0fr1q1544037Oqrb9++jB8/npEjR9K4cWO2b9/O4sWLbYNcHD16NNNespMnT9KkSROaNGnCqVOnGD9+PE2aNOGxxx6ztTl+/Dj9+/cnKCiI+++/n3LlyrFhwwbKF5Hd5FJ8paRA//6vAJcoW7Yzc+c+nW3bn38eTunStwEX6d79UVJSNAmjiEhRFpE+wFhQ69YmJ8kjFgvxNWuyDTi2dq3ZaURyzGIYRq5Oyjh69Ci7du0iLi6OJk2aUKtWrRuvVEjExsbi7e1NTEyMDhEUh/F//wdvvHEOV9eXWbPmbUJCrj/wSljYfjp3bgQkcN99E5k//9mCCSoiIgUq8cQJ7q9UiQhgS1QUnn5+ZkfKE4/UqME3Bw/yXufOvL50qdlxpBizpzawexLhDJUrV6Zy5cq5XV1E7LBtG7z1FkA5vvhiJiEhN17n9ttr0qfPOObPf5YffniVDRvu59Zbi8Y/XBER+Y/74cMsBKhcOe1wuiIiqEYNOHiQiAMHzI4ikmM5Kq6GDx+e4w4/+uijXIcRkWtZrQb9+28jJaUpvXvDQw/lfN05c55i9eoNREX147XX/Fi5Mt9iioiIWSIi0n4GBZmbI48FN24MS5cSfvq02VFEcixHxdW2q2Ym3bp1KykpKQSlv4j//fdfnJ2dadasWd4nFCnmPvlkJRERnXBy6sjUqWFYLJYcr+vi4sTGjbMICoJVq2DjRnK010tERAqPhH/+oQRgKWLFVdBtt8EHHxARH49htWJxsnuoAJECl6Nn6YoVK2yX7t270759e44fP87WrVvZunUrx44do2PHjtx99935nVek2Pngg08BqFMnGD+/nBdWGapUgX790n7/9NPUvIwmIiIOoP9331EG+D4hwewoeapmx444AbFA5M6dZscRyRG7vwL48MMPGT16ND4+PrZlPj4+vPfee3z44Yd5Gk6kuFu9+hCRkb8AMGbMc7nu5+mnU4E3mTu3Ctu3XztPnYiIFF4R588TC5QtYnuu3L28qOaSdpBVhI5rl0LC7uIqNjaWM2fOXLP8zJkzXLx4MU9CiUia4cMnAwblynWhW7c6ue6nZUtnSpdeDpxg2LDpeZZPRETMlZyQwIGkJACC2rc3OU3eC0r/Mj/i779NTiKSM3YXV/fccw+DBg3ip59+4vjx4xw/fpwff/yRwYMH07t37/zIKFIsRUbGsWXL5wA8++zQm+5v0KC0PtasmUZcXNJN9yciIuY7uGoVKYAncEsRPPd9QIsWjANa63wrKSTsfqZOmzaNO++8kwceeIAqVapQpUoVHnjgAbp27cqUKVPyI6NIsfTCC7OAGFxda/LGG3fedH+jR/fGySkAqzWKV16Zf/MBRUTEdBF//QVA7RIlcHLJ9Qw7Dqtvz568DDQ4d87sKCI5YndxVbJkSaZMmcK5c+fYtm0b27Zt4/z580yZMgVPT8/8yChS7BgG/PrrQgC6d38OF5eb/8auZElXOnZ8CoBvvpl40/2JiIj5IrZvByCofHlzg+SXjPPIMoabF3Fwuf7E5unpScOGDWnYsKGKKpE8tmwZxMf/hofHj3z66cA86/fTTx8H3IiP38gXX2zMs35FRMQc4fv2ARBcvbrJSfKHUbs2u4AfDh4kMSbG7DgiN6QDWEUc0MSJAC4MGdKbSpW88qzfevX8qF49bVz2997T3isRkcKuSUoKdwItWrY0O0r+qFCBNkAfYN/y5WanEbkhFVciDiYqKplFi6wAPPVU3vf/1lvDgOGcPDmUuLi8719ERArOs7GxLALu6t/f7Cj5wuLkRFD6EVLha9eanEbkxlRciTiY//3vW1JTq1Cx4sfUyf3o69l66KEmVK/+IUlJLfnjj7zvX0RECsjZs5Ax0EOtWuZmyUfBFSoAELFjh8lJRG7M7uIqPj4+P3KISLpff50PHCc4OH92K1kscN99ab//8EO+bEJERArAxW3bOAcQGAhF+Pz3oBo1AIg4eNDkJCI3ZndxVaFCBR599FH+Sh/6U0TyzpEj0Zw5sxSA4cPvy7ft9O5tBZby009Pc/ZsQr5tR0RE8s/8OXPwBe5NTDQ7Sr4KatQIgIioKJOTiNyY3cXV7NmzOX/+PJ06daJ27dqMGTOGkydP5kc2kWLn/fd/BZJxd69Ht275cExguhYtLDg7P0ZKylQ++ODPfNuOiIjkn4g9ewAISD9srqgKat0agPD4eAyr1eQ0Itdnd3HVq1cvFixYwIkTJ3jyySeZM2cOVapUoVu3bvz000+kpKTkR06RYmHhwrTJfUNC8m+vFYCTk4XGjdO2MW+ejg0UESmMwo8eBSA4ONjkJPmrZseOOAGxQNSuXWbHEbmuXA9oUb58eYYPH87OnTv56KOPWLZsGffddx8BAQGMHDmShAQdaiRij2PHYomKStuLNGxY/hZXAI8/nraNI0d+JTr6cr5vT0RE8lbE+fMABDVvbnKS/OVRpgyflivHj0BpHS0lDi7XxVVUVBTjxo2jbt26vPbaa9x3332EhYXx4Ycf8tNPP9GrV688jClS9I0e/SuQhJtbED171sv37T36aAhOTrcAF/nww6X5vj0REck7yQkJHEhKAiCofXuT0+S/Z1u2pDfgeeSI2VFErsvu4uqnn36ie/fuBAYGMmfOHJ5++mlOnDjB7Nmz6dixIw8//DALFy5k5cqV+RBXpOgKD28IDKV9+ydxcrLk+/ZcXJxo0OBeAObM0aGBIiKFycFVq0gBPIFbmjUzO07+yzj0MSLC3BwiN2B3cTVo0CACAgJYu3Yt27dv59lnn6VMmTKZ2gQEBPD666/nVUaRIu/iRVi3rgHwKR98MKzAtvvYY2mHBh48uJC4uKQC266IiNyciPRRm2uXKIGTi4vJafLf+UqVWAjM15f34uDsfjWeOnWKkiVLXrdNiRIlGDVqVK5DiRQ3v/8OiYlQsyY0bFhw23388dY8/7w/Vqsnc+ceZsiQ2gW3cRERybXAuDieAwKK8OTBV/rHyYleQPV//qGP2WFErsPuPVelS5fm9OnT1yw/d+4czs7OeRJKpLj54IPPgZXce28qlvw/ItDGzc2ZAQO2AvtYv16FlYhIYdEkLo4JwGu9e5sdpUAEdeoEwOGUFC7HxJicRiR7dhdXhmFkuTwxMRE3N7ebDiRS3CQkJLN163CgI8HBWwt8+w8/XBGw8NtvoOlDREQKifDwtJ9BQebmKCAV6tfHG7AC+1esMDuOSLZyfFjghAkTALBYLHz++eeUKlXKdl1qaiqrV68u8vMsiOSHL75YD1zEYvHloYcK/qTkNm2gVCk4cyaZdesSadOm1I1XEhERU23evZtagHcx+exlcXIiyNOTTfHxRKxdS32NSi0OKsfF1ccffwyk7bmaNm1apkMA3dzcqFq1KtOmTcv7hCJF3Ny5iwGoUiUUF5dcz46Qa25uULnyOPbs+T/eeedVliz5X4FnEBGRnDsbEUGL9EPj4m+5heufCV90BFWowKaDB4nYscPsKCLZynFxdejQIQA6duzITz/9hI+PT76FEilOtm9PK666du1qWoaGDUuzZ08sGzcuBlRciYg4sojlywEIdHamZPnyJqcpOMHVq8PBg4QfOGB2FJFs2f01+YoVK1RYieSRHTsiuXRpGwDPPtvFtBxPPhkKQGzsOo4e1YnCIiKObO+GDQDUuWoqnKIuqFEjACKiokxOIpK9HO25Gj58OO+++y6enp4MHz78um0/+uijPAkmUhxMnrwEgJIlm1Gvnp9pOdq3r46ra22Sk/9l0qQwxo0rHqNPiYgURnt27QKgbuXKJicpWLfdfTffffgh9SwWMAwKdHhdkRzKUXG1bds2kpOTbb9nx6InuYhdli9fC0CTJuYdEpihbt2u7NjxL7/++qeKKxERB7b36FEA6tavb3KSguXfqhV9LRaIi4PTp6FCBbMjiVwjR8XViiuGvFyh4S9F8kRqKpw/Pw14imHDzD/UtnfvruzYMYF9+xZjtRo4OenLEhERR7TnwgUA6tx6q8lJCpiHB1StCocOpQ1Fr+JKHFDBD00mIgBs3gwXLljw9m5Mr15VzI7D00+3B9xJTT3K77+Hmx1HRESyEBcZydHUVADq3HGHyWkK3t/+/nwErPntN7OjiGQpR3uuetsx+/dPP/2U6zAixcnitEEC6dwZXHI8bmf+8fUtSZUqT3PkSBm2bPGme3ezE4mIyNWMiAg+AY6WKEG5WrXMjlPg5ly+zCfA8BUraGt2GJEs5Ogjnbe3d37nECl2Pv20F+BF06ajgBomp0nz/PMfMXw4rF9vdhIREclK6SNHeB4gJMTsKKYICg6GbdsITz/vTMTR5Ki4+vLLL/M7h0ixsn//eS5c+BWwcscd75sdxyY0bUR2Vq2ChAQoWVxmphQRKSz27En7WbeuuTlMEtyyJcydy970885EHI3OuRIxwcSJSwEr7u71adGiktlxbOrUgVtuiSYx8Qe++mqn2XFEROQqK9esYRtwuWZNs6OYom76eWaHU1JIOHvW5DQi18rRnqumTZsSFhaGj48PTZo0ue6Q61u3bs2zcCJF1aJFaSdcNWhg/hDsV7JYoHTpV4AZTJ/+HE8/PcHsSCIicoUhf//NfmBZaiq3mx3GBH716uFrsXDWMAj/80+aPvig2ZFEMslRcdWzZ0/c3d0B6NWrV37mESnyrFaDQ4fCAOjd2/FGeurWLZTw8BmEhy8zO4qIiFzhcnQ0B9PnHa3bubPJacxTz8uLVTEx7F6zRsWVOByLYRiG2SEcTWxsLN7e3sTExODl5WV2HClili8/wO231wRcOXMmGl9fxzqxad++c9SuXR4w2LHjFA0b+psdSUREgJ0//ECjPn0oY7FwPiUFi1PxPLvj6fr1mbp7N6+GhDBmwwaz40gxYE9tkOtX5ebNm5k1axazZs1iy5Ytue1GpNj56qu0ibi9vG51uMIKoFatcpQo0QiAzz9faW4YERGx2btmDQB1SpUqtoUVwPO9e/M38IaPj9lRRK5h9yvz+PHjtG3blpYtW/L888/z/PPP06JFC9q0acPx48fzI6NIkbJ/fwmgMU2aOO7R8nXqdARg6dLlJicREZEMe7ZvB6BuxYrmBjFZUKdONAdK/fuv2VFErmF3cfXYY4+RnJzM3r17OX/+POfPn2fv3r1YrVYee+yx/MgoUmQYBhw8+CCwjbfeGml2nGzddVdacXXgwAqTk4iISIa9Bw8CUDc42OQkJssYhv7QobR5Q0QciN3F1apVq5g6dSpBQUG2ZUFBQUycOJHVq1fnaTiRombvXoiKAg8PaNUq+1E3zTZkSDvAieTk/fz99wmz44iICLDnzBkA6jRvbnISk/n58XWpUjxtGIT/8YfZaUQysbu4CgwMJDl9pJorpaamEhAQkCehRIqqn38+ASRw222QPgCnQ6pc2ZuaNX8CDrF37y1mxxERkeRkPkxJ4QOg6Z13mp3GdF86OzMV2LRkidlRRDKxu7j64IMPeO6559i8ebNt2ebNm3n++ecZP358noYTKWqmTHke8KFMma/NjnJDvXv3BKqyQkcGioiY78ABQlNTecnTkwpNm5qdxnT1AgMB2LNjh8lJRDLL0TxXPj4+mSYOjo+PJyQkBBeXtNVTUlJwcXHh0Ucf1TxYItlISbFy6tQKIIkuXWqbHeeGOnWCceNg+fK0c8WuM3e4iIjkt717034GB0MxHikwQ726dWHXLnYfOmR2FJFMclRcffLJJ/kWYPLkyXzwwQdERkbSqFEjJk6cSMuWLbNsu3v3bkaOHMmWLVs4cuQIH3/8McOGDbupPkUKyo8/7sQwzgOePPSQ4x8vf9tt4OQ0maNH/2T16k9p376a2ZFERIqtNYsWEQmEVKlCZbPDOIC6rVrB99+z+/x5s6OIZJKj4uqRRx7Jl43PmzeP4cOHM23aNEJCQvjkk08IDQ0lIiICPz+/a9onJCRQvXp1+vTpwwsvvJAnfYoUlLlz046vK1++HSVLupqc5sZKlQJPz7lcvLiWL7/sSfv2g82OJCJSbE1ftoxvgffj4xlhdhgHUC80FIDDKSnEnzmDZ/nyJicSSXNT+5UvX75MbGxspos9PvroI4YMGcKgQYOoW7cu06ZNo2TJksycOTPL9i1atOCDDz6gX79+uGczGoC9fYoUlPXr0+aMatmyk8lJcq5Ro7Qh2Vet0olXIiJm2hMVBUBdnW8FQPk6dfC1WDCA8D//NDuOiI3dxVV8fDzPPvssfn5+eHp64uPjk+mSU0lJSWzZsoXOnTv/F8bJic6dO7N+/Xp7Y91Un4mJiTdVJIrcyOXLKZw+nTZVQb9+HU1Ok3O9eqVlPXp0OVarYXIaEZHiyZqSQvilSwDU7Vh4/ofkt3peXgDsW7fO5CQi/7G7uHrllVdYvnw5U6dOxd3dnc8//5y3336bgIAAvvnmmxz3c/bsWVJTU6lQoUKm5RUqVCAyMtLeWDfV5+jRo/H29rZdAtNHoBHJK3PnbgVisVjKcP/9jc2Ok2ODBrUC3LFaT/Hnn/+aHUdEpFg6sm4dlwA3oFrbtmbHcRgzu3XjPNAvvcgScQR2F1e//vorU6ZM4d5778XFxYW2bdvyxhtv8P777/Ptt9/mR8Z8N2LECGJiYmyXY8eOmR1Jiph9+wKBjwkOfgU3N2ez4+RY2bIlKFOmFQDffKNDA0VEzPBP+mFvwR4euHh4mJzGcVRv3RofgN27zY4iYmN3cXX+/HmqV68OgJeXF+fTR2lp06YNq1evznE/vr6+ODs7E5V+DHGGqKgo/P397Y11U326u7vj5eWV6SKSl7ZsqQgM48knC99pyE2apB2C8tdfy01OIiJSPO3cuBGARgEBJidxMHXrpv1UcSUOxO7iqnr16hxKn1MgODiY77//Hkjbo1WmTJkc9+Pm5kazZs0ICwuzLbNarYSFhdGqVSt7Y+VbnyI3KykJ/vor7fdOhWcsC5v77usEuHH6tBWr1ew0IiLFz86ICAAaBAebnMSxJNeuzQtA6KFDxJ8+bXYcESAXxdWgQYPYkT4b9muvvcbkyZPx8PDghRde4OWXX7arr+HDhzNjxgy+/vpr9u7dy1NPPUV8fDyDBg0CYMCAAYwY8d83/UlJSWzfvp3t27eTlJTEiRMn2L59O/v3789xnyIFbf78cBISvqRs2aPUq2d2GvsNHHgrJUpEk5T0g74cFBExwTg3N34Eet17r9lRHIprQACzLRaWAOFLlpgdRwTI4TxXV7pyfqnOnTuzd+9etm7dSs2aNWnYsKFdffXt25czZ84wcuRIIiMjady4MYsXL7YNSHH06FGcrpiF/OTJkzRp0sT29/jx4xk/fjzt27dn5cqVOepTpKB98cV8YCSenvdjscwzO47dSpZ0oU0bF5YuhRUroEEDsxOJiBQjly5R9fBhqgLceafJYRxPPS8vVsXEsHv1apo99JDZcUSwGIah8ZWvEhsbi7e3NzExMTr/Sm6aj09HoqNX0r//VObMedLsOLkyZgyMGAHduiXw668lzY4jIlJ8bNkCzZuDry+cPg0Wi9mJHMozDRowZdcuXg0JYcyGDWbHkSLKntogV5MIh4WF0a1bN2rUqEGNGjXo1q0by5Yty1VYkaLs/PlLREenzbH2yCOF8ISrdPXqHQea8PvvlUlKSjU7johIsbFq/nzeB9ZXrqzCKgv10o+3350+HoCI2ewurqZMmULXrl0pXbo0zz//PM8//zxeXl7cddddTJ48OT8yihRaX365HkjEySmAO+6oZXacXLvjDn/gAIZxjvnzd5gdR0Sk2Fi4dCmvA/M0olCW6t92GwA7z50zOYlIGruLq/fff5+PP/6YuXPnMnToUIYOHcqcOXP4+OOPef/99/Mjo0ih9fPPacOXV6nSCSenwvuNo4eHC35+7QD47jvNdyUiUlB2pu+Radi4sblBHFSjnj0BOJqayoWDB01OI5KL4io6OpquXbtes7xLly7ExMTkSSiRomLnzrRCpH37jiYnuXktW6bdho0bVVyJiBQIw2BndDQADTp0MDWKo/KuXJmqLi6UA44s13yMYj67i6sePXrw888/X7N84cKFdOvWLU9CiRQFp09f4uLFzQAMHlx4z7fK0L9/WnF15sxqLl9OMTmNiEjRF7VrF2cMAwtQ7+67zY7jsLZ26cIZoHFcnNlRRHI2FPuECRNsv9etW5f/+7//Y+XKlbaJeTds2MDatWt58cUX8yelSCG0ZUsJ4AR+futp06aq2XFuWp8+jXjoIR8M4wLffruFwYNDzI4kIlKk7fz9dwBqubpS0tfX5DSOy6dFC1i0CHbonGAxX46Kq48//jjT3z4+PuzZs4c9e/bYlpUpU4aZM2fyxhtv5G1CkUJqxQoAX7p16252lDzh6uqMv397Tp1awPz5K1RciYjks51r1wLQ0M/P5CQOLuN8tO3bzUwhAuSwuDqk4S1F7JZx6Henwn9EoM3tt9/D7NmlOH26yY0bi4jITdm1dy8ADWrXNjmJY4utXp2Hgb3bt7MrLg63UqXMjiTFWK7mucpgGAaag1jkWocPR7NlS0fgbdq1KzrzQr366gBgFuHhoSQlmZ1GRKRom+7pyQ5g0AMPmB3FoZWuX5+VwD4gfPFik9NIcZer4uqbb76hQYMGlChRghIlStCwYUNmzZqV19lECq0ZM1YDK3Fzm0tgoLPZcfJMvXpQvjxcugQbN5qdRkSkCEtJwS08nIZAYFE6BCIfWJycaOTlBcCOZctMTiPFnd3F1UcffcRTTz3FXXfdxffff8/3339P165defLJJ685N0ukuFq0KO2YwJo1C/8Q7FeyWKBDByuwk2++UXUlIpJv/v0XkpKgVCmoWtXsNA6vUZUqAGzfvNnkJFLc5eicqytNnDiRqVOnMmDAANuyHj16UK9ePd566y1eeOGFPA0oUhiFh6fNBRUaWvS+bXR3nwkMYf789syYsdLsOCIiRdLS2bP5DuhasSJ9nG7qLI5ioXHTpvDPP+zQRMJiMrtfradOnaJ169bXLG/dujWnTp3Kk1AihdnevWe4fHknAEOGdDA3TD546KF2AMTErOfcuUsmpxERKZpWrFrFTCDMxe7vwYulRumHTm6PjsawWk1OI8WZ3cVVzZo1+f77769ZPm/ePGrVqpUnoUQKs4y9OR4eDahTp7y5YfLBHXfUwsnpFiCJL75YZ3YcEZEi6Z/9+wFoUL++yUkKh3rduuEMnDMMTm7danYcKcbs/jrk7bffpm/fvqxevZrbbrsNgLVr1xIWFpZl0SVS3Pz5Z9ohgUFBRet8qwxOThaqVu3EwYOzWLhwOa+8crvZkUREipyd584B0LBdO5OTFA4lypalqYcHzpcvc2HTJm5p3tzsSFJM2b3n6t5772XTpk34+vqyYMECFixYgK+vL5s2beKee+7Jj4wihcrJk86AF3fdVfTOt8rQsWPabdu5c7nJSUREip7oI0c4mpo2jUf9u+82OU3hsbFXL9YD9aOjzY4ixZhdxVVycjKPPvooPj4+zJ49my1btrBlyxZmz55NkyaaVFTk5EmIjp4InGPYsLvMjpNvBg1K2ysXF/c3x4/HmpxGRKRo2frDDwBUcXbGp1o1k9MUHpaMz6I7dpgbRIo1u4orV1dXfvzxx/zKIlLorUg7IpBmzVzw83M1N0w+uu22Kri41ABS+fzzNWbHEREpUjaHhQHQwt/f5CSFTKNGACTqnCsxkd2HBfbq1YsFCxbkQxSRwu+PP6IB6Fg0T7fKpEOHccASzp8vBjdWRKQAndi3DwvQvEEDs6MUKnG1alEPKL1/P/GnT5sdR4opuwe0qFWrFu+88w5r166lWbNmeHp6Zrp+6NCheRZOpLCZN68J4ET16guBoj3C0+DBvVm2DNZox5WISJ76NDWVdwHrk0+aHaVQKVW9OuednEi2Wvnnl1+49bHHzI4kxZDFMAzDnhWqXefYX4vFwsEiMHlbbGws3t7exMTE4OXlZXYcKSRWrz5E+/bVARdOnDhPQEBpsyPlq6goyDhi5exZKFfO3DwiIkXCuXPg65v2+4ULUKaMqXEKm66+vvx57hzTHniAJ7791uw4UkTYUxvYvefq0KFDuQ4mUpR9+WXaCVelSrUo8oUVQIUKULXqGg4fXsjEiXfx1ltFd3REEZECs2VL2s9atVRY5UKjGjX489w5tm/fbnYUKabsPufqSoZhYOeOL5Eia9WqtOKqUaPiU2R4ec0HPtRANyIieeSTTz+lLTBLhwPkSpOQEAC2HDlichIprnJVXH3xxRfUr18fDw8PPDw8qF+/Pp9//nleZxMpNKxWgyNH0uZ86tmz+AzwkDGX17//ar4rEZG8sHrbNv4Czvj5mR2lUGrZuzcA2+PjSYyJMTmNFEd2F1cjR47k+eefp3v37syfP5/58+fTvXt3XnjhBUaOHJkfGUUc3tKl+7BaTwJuDB7c2uw4Bebxx9sDFpKSwtm69aTZcURECr3N6aPcNe/c2eQkhVO1du3wtVhIBranzxcmUpDsPudq6tSpzJgxg/79+9uW9ejRg4YNG/Lcc8/xzjvv5GlAkcLg66/T9tx4e7eibNkSJqcpONWq+VCyZFMSErbw+ecrmDLlQbMjiYgUWlG7dnEsNRUL0OTee82OUyhZnJzoExjIxaNH8fj3X7PjSDFk956r5ORkmjdvfs3yZs2akZKSkiehRAqbyMimwFO0bdvP7CgFrl69tEMDlyxZanISEZHCbUv6+avBbm6UDggwOU3hNWXwYGYBjU6cMDuKFEN2F1cPP/wwU6dOvWb5Z599xoMP6ltrKX5SUmDr1pbAFN54o/jNSdK79x0AHDq0FKtVA9yIiOTW5lWrAGheqZLJSQq5li3Tfm7caG4OKZbsPiwQ0ga0WLJkCbfeeisAGzdu5OjRowwYMIDhw4fb2n300Ud5k1LEgf39N8TEpI2Ym8VO3SLvySfbMmKEB1arhdWrI+nQoaLZkURECqXNe/YA0KJJE5OTFHItW5IK7Nm/n+pHj+JZubLZiaQYsbu42rVrF02bNgXgwIEDAPj6+uLr68uuXbts7SwWSx5FFHFs06evAFzp1CkEZ2dXs+MUuDJlPGjXLoLVqwPZutVChw5mJxIRKYQMA9/YWCoAzbt0MTtN4Va2LM3d3dmemMgf33xD1zfeMDuRFCN2F1crVqzIjxwihdZPP70BrMPT8zNgiNlxTNGzZ2VWr4YlS+CKndciIpJTJ08y89IlDCcn0GkWN61+xYpsP3yYTWFhKq6kQN3UJMIixd2RI9FcvJh2TPcTTxTfbxozvmRdudJKfHyquWFERAqjzZsBsNSvj8XT0+QwhV9I+nH6G3fvNjmJFDcqrkRuwpQpK4BU3NyCuO22KmbHMU29euDpOYzERD8mTdLebREReyWsX5/2S3E8eTcftLzrLgA2nj2LYbWanEaKExVXIjfht9+WABAcXHz3WgFYLFCxYgxwjh9/XGJ2HBGRQqf3F18QACzy8DA7SpHQ6N57cQPOGQaHVq82O44UIyquRHLJMODff9MKiZ49i3dxBdC1aygA//yj4kpExB6G1cqWc+c4BZTPGEZcboq7lxeN0w+v3Jg+f5hIQVBxJZJLy5cfICXlIODK0093MDuO6Z55pjNg4fLlHezYEWl2HBGRQuPAihWcNQzcgIb33GN2nCIjpEYNADatXWtyEilOVFyJ5NLnny8DwNv7Nvz9S5mcxnzBwb6ULJk2TcOUKUtNTiMiUnisnj0bgJZeXrh7eZmcpui45+67eQu4PznZ7ChSjKi4EsmlhITHgI307fue2VEcRqNGaYdHLlmiQwNFRHJqzV9/AdC2fn2TkxQtHQcNYhTQat8+SEoyO44UEyquRHIhORlWrHAGWjJkyG1mx3EY99+fVlwdPbqUlBSNziQikhOrDx8GoN2dd5obpKipWRN8fCAxEf75x+w0UkyouBLJhY0b4eJFKFcOmjY1O43jeOyx1jg5tcVqHczff182O46IiMM7uXUrB1NScAJaDxxodpyixWLhdKNGLAQ2fPed2WmkmFBxJZILb7/9MfAYjRuvx0mvIptSpdy4667VwP+xalVJs+OIiDg8Y+NGhgMP+vjgVamS2XGKnMlWK72AyRoxUAqIPhaK5MKaNTOBL6hd+6DZURxO+ryN/PqruTlERAqDW3bv5kPgmwEDzI5SJLW9+24AVh49qsmEpUCouBKx0+rVh0hM3AU48+KLOj7+at26AcSzbt0CwsPPmR1HRMSxrVmT9rNtW3NzFFGtH30UV+B4aioHV640O44UAyquROz06adpu2S8vdtQo0ZZk9M4nsBAKFnyduAexo/X7isRkexcPHqUsJ07iQdo08bsOEVSSV9fbk0f3n7F11+bnEaKAxVXInZauTKtYGjbtrvJSRxXixZdAVi06BeTk4iIOK5Vn39OZ6ClmxtUqGB2nCKrQ6NGAKxYtcrkJFIcOERxNXnyZKpWrYqHhwchISFs2rTpuu3nz59PcHAwHh4eNGjQgEWLFmW6fuDAgVgslkyXrl275udNkGLi6NEYzp9fCcDQoT3MDePAhgxJu29OnfqT6GiNGigikpU1f/4JQOtq1UxOUrR17NULgBXHjum8K8l3phdX8+bNY/jw4YwaNYqtW7fSqFEjQkNDOX36dJbt161bR//+/Rk8eDDbtm2jV69e9OrVi127dmVq17VrV06dOmW7zJ07tyBujhRxH364GEjBzS2IO+6oZXYch9W/fxOcnG4BEpgwYYXZcUREHNLqPXsAaNuunclJirZWjz6KO3DKamWfJrmXfGZ6cfXRRx8xZMgQBg0aRN26dZk2bRolS5Zk5syZWbb/9NNP6dq1Ky+//DJ16tTh3XffpWnTpkyaNClTO3d3d/z9/W0XHx+fgrg5UsRt2WIAwTRqpL1W1+PkZCE4OO2wyXnzdGigiMjVEs6eZXNcHABtH3rI5DRFm0eZMvxQvz77gVqHDpkdR4o4U4urpKQktmzZQufOnW3LnJyc6Ny5M+vXr89ynfXr12dqDxAaGnpN+5UrV+Ln50dQUBBPPfUU585lP2pZYmIisbGxmS4iV0tJgT17+gF7GTfu/8yO4/D69k0rQMPDf8VqNUxOIyLiWDZ+8w0pwC3OzlTVYBb5rlufPtQALBoxUPKZqcXV2bNnSU1NpcJVJ3FWqFCByMjILNeJjIy8YfuuXbvyzTffEBYWxtixY1m1ahV33nknqampWfY5evRovL29bZfAwMCbvGVSFK1dCxcuQLly0Latq9lxHN7QoR0BT6zWE8yfv+uG7UVEipPV6ZMBtqtUCYtmo89/HTum/Vy5Egx94Sf5p0i+mvv160ePHj1o0KABvXr14rfffuPvv/9mZTbfVowYMYKYmBjb5dixYwUbWAqFr76KAC5z993g7Gx2GsdXpowHt946B9jH3r0NzI4jIuJQ1uzYAUDbVq1MTlJMtGzJDFdX7jl9mvDffjM7jRRhphZXvr6+ODs7ExUVlWl5VFQU/v7+Wa7j7+9vV3uA6tWr4+vry/79+7O83t3dHS8vr0wXkStZrQbfftsN8KV27XVmxyk0nniiB1CTX3TalYjIfxIT+fjSJSYAXR95xOw0xYO7O9+XLs0CYNk335idRoowU4srNzc3mjVrRlhYmG2Z1WolLCyMVtl8k9OqVatM7QGWLl2abXuA48ePc+7cOSpWrJg3waXYWbw4guTk/UAygwZpL0xO3XUXWCywbRtoh7CISLrVq2lw+TLPVaxItdBQs9MUGx2bNgVgxTp9SSr5x/TDAocPH86MGTP4+uuv2bt3L0899RTx8fEMGjQIgAEDBjBixAhb++eff57Fixfz4YcfEh4ezltvvcXmzZt59tlnAYiLi+Pll19mw4YNHD58mLCwMHr27EnNmjUJ1RuY5NInn/wEQLlyHQkIKG1ymsLDzw+CgxcBvXjllc/NjiMi4hgy5ufM+AZKCkSH++4DYOWpU1hTUkxOI0WV6cVV3759GT9+PCNHjqRx48Zs376dxYsX2watOHr0KKdOnbK1b926NXPmzOGzzz6jUaNG/PDDDyxYsID69esD4OzszM6dO+nRowe1a9dm8ODBNGvWjDVr1uDu7m7KbZTCb/XqtHnSune/3+QkhU+tWuHAQn7//Uuzo4iIOIRnv/ySL4H42283O0qx0uLhh/EEzhsG//z8s9lxpIiyGIaGTLlabGws3t7exMTE6Pwr4eefd9G7dwPAlYMHo6hWTXOm2WPz5hO0aBEIGPz112Fuu62K2ZFEREyzb+lSanfpgitw9tgxvCpVMjtSsdLV15c/z53j4169GKYCS3LIntrA9D1XIo7uww+/A8Df/04VVrnQvPkteHu3A+D//u87k9OIiJhr0dSpALT18VFhZYLbQ0IA+GPNGpOTSFGl4krkOqxWg40b0wqCPn36m5ym8OrW7QEAVqyYa3ISERFzLVq9GoC727Y1OUnx1PO553AGnM6fx3rhgtlxpAhScSVyHVu2WEhJ+QNX13d5443uZscptEaNuhdw4fLlHfz++16z44iImCIuMpKV584BcNcTT5icpniq3bUrZ2vV4g/DwOnPP82OI0WQiiuR65g7F6AW9977Bn5+nmbHKbRq1SpH+fJpo3WOHau9VyJSPC2fOJEkoJqLC0Fdu5odp9gq07t32i8LFpiaQ4omFVci2UhNhXnz0n7vryMCb9p99z0AtGLfvjpoGB0RKY5+/yltWo+769TB4qSPYKbp1QuAyN9+I+niRXOzSJGjV7ZINqZM+YuTJ+/B0/NXNEXazRszpj8eHuuIjOzP1q1mpxERKWCGwdkjR7AAd/XpY3aa4q1lS3q7uxMQH8+KCRPMTiNFjIorkWxMnTobWEBAwAI0RdrN8/Ky0D39tLW5OjJQRIqbf/7hx0uXiPLwoNNzz5mdpnhzcsKvenUMYOGcOWankSJGxZVIFhISkgkP/wGAxx7TMYF5Je3wynPMnPkVKSlWs+OIiBScRYsAKN+5M+5lypibRejZrx8AC8PDsaakmJxGihIVVyJZGDPmTwzjHBaLH0OHdjA7TpHRpUsqFksdLlwYxOTJmmNERIqP+F9+SfvlrrvMDSIAdBo2jFLASauVLbNnmx1HihAVVyJZmD59GgBNmjyEh4eLyWmKDk9PZ2rX7gnAxx9/ZnIaEZGCcfzvvym7fj0dgcu33252HAHcvby4M30S5wUzZpicRooSFVciV/nrr8OcPp12+Mbo0U+anKboeeONtPv0yJH57N592uQ0IiL5b86oUSQBqV5eeNSubXYcSderRw8AFmzZYnISKUpUXIlc5ZVXPgMMypbtTJcutcyOU+Q89FAzPD1bAMm8+OJMs+OIiOQrw2rlm+XLARjQs6fJaeRKd73yCi7AnsRE9i1danYcKSJUXIlcISkJdu9uCDTh0UefMjtOkdWv39MAhIVNJykp1eQ0IiL5Z/u8eexOTMQduO/dd82OI1coU6UKb1avztdAhbVrzY4jRYSKK5Er/PwzxMb2w99/C//3f/eYHafIGjeuLxaLDykph3n//cVmxxERyTezxo8HoEelSpSpUsXkNHK1kSNGMADwmjsXzXAveUHFlcgVpk5N+/n44xbc3CzmhinCypYtQZMmAwEX5s3bZXYcEZF8kXL5MnO2bwfg4YEDTc0i2ejbFzw94d9/YY1GsZWbp+JKJN2iRf+yatVknJxiGTLE7DRF38SJrwBHiYh4lcOHzU4jIpL3lo0fT5TViq/FQtcRI8yOI1kpXZqzvXoxFnj9mWfMTiNFgIorkXQjRkwCnqVixSGkj84q+ah1a3/uuKMihgGfaVR2ESmCWu3YwefAqLZtcS1Z0uw4ko0DHTvyGvDRrl1c0Ld9cpNUXIkAp0/Hs3PnNwA888xgk9MUH0+ljxkybdo+YmMTzQ0jIpKXLl7E+/ffGQw8+8EHZqeR62g5aBD13d25DMx55RWz40ghp+JKBHjiiRlADK6uNXn55c5mxyk2uneHkiUHcuFCbZ5//luz44iI5J2ffoJLl6B2bWjRwuw0ch0WJyceu+suAGb8+iuG1WpyIinMVFxJsXf+/CV++WUsAP37v4qLi14WBcXFBTp3bgjA7NnvkZCQbHIiEZG88ezrrzMBiL7vPrBogCRH9/AHH+AO7Lh8mS2zZ5sdRwoxfYqUYm/w4OlYrZG4uFRl8uQBZscpdr744kksFj9SUg7xzDPfmB1HROSmbf32WyafOMFwICZ9j4g4trI1atA7faj8z8eMMTmNFGYqrqRYu3Kv1QMPvE6pUm4mJyp+fH1L0r37q4D2XolI0TA2fWTAflWrUuW220xOIzk1ZOhQAObs3UtcZKTJaaSwUnElxdrkybFYre1wcamuvVYm+uKLJ3FyqkBKymGeeuprs+OIiOTavqVL+eHYMQBeTZ9AWAqH9kOHUt/NjR5A7Nf6XyS5o+JKiq1Ll2DKlArAPD7+eIf2Wpnoyr1Xc+b8H3FxSSYnEhHJnfFDh2IF7vbzo8G995odR+zg5OLC9tGjmQ0ETJ0KSfpfJPZTcSXF1vTpEBkJVavC44+XMjtOsffFF0+k7726zIcf/mt2HBERu53avp2vwsMBeG3UKJPTSG44P/UUVKwIR47AF1+YHUcKIRVXUiydPZvA668PAw7y+uvgpp1WpitXriQvvPAHcJAvv6yvLwxFpND55IknSALaeHnR5umnzY4juVGiBPzvf+wFnnzpJS5HR5udSAoZFVdSLN1999skJHyKi0tXHnpI81k4inffbULFiiU4cgQ+/NDsNCIidoiOpveuXfQAXhs2zOw0chNSH32UO52dmZ6QwGeDB5sdRwoZFVdS7Hz//Q42bUr75P7KK+Px8NDLwFGUKAHjxgFYGTlyOsuW7TM7kohIzkyZQkhCAgvr1+duHRJYqDmXLMmIvn0BGL1gAQlnz5qcSAoTi2EYhtkhHE1sbCze3t7ExMTg5eVldhzJQ0lJqZQtexvx8RsJCOjNiRM/mh1JrmIYUK3aKxw58gE+Pp04e3YZTk6agFNEHJf1xAmc6taF2FiYNQseesjsSHKTkuLiCPLx4XBKCuO7dePFX381O5KYyJ7aQF/ZS7Hy0EPTiI/fCJRm4cIJZseRLFgsMHPmE4AHFy4s58knZ5kdSUTkuh5q3ZqnYmOJbtIE+vc3O47kAbdSpXjz4YcBGPv775r3SnJMxZUUG5s3n2D+/LSJHfv0GU3z5reYnEiy06lTDbp2fQuAzz8fTkSEDskQEcf05//9H3OPHuUz4NDLL4Ozs9mRJI8MmDKFmq6unDEMRnXrZnYcKSRUXEmx0bfvaOAinp4hzJ79pNlx5AZ+/HE4Hh4NMYxz3HXXi2bHERG5xqXz53n6rbcAeL5pU5por1WR4uLhwSf/+x8AH2/Zwt/Tp5ucSAoDFVdSLEybBgcPfoDFMoIvv5yOm5u+WXR0JUu6MmnSZ4CFgwe/4ZlnvjU7kohIJu91787BlBQqOTvzzu+/mx1H8sHdb73FU8HBjAaajhkDcXFmRxIHp+JKirzVq+G55wBKMHr0+/Tp08jsSJJDgweH0Lp12qGcU6YMZdWqiyYnEhFJs+eXX/hg3ToAJr78MqX8/U1OJPllysaNvFq5Ms6HD8NLL5kdRxyciisp0tauPcKdd44iJSWVfv3glVfMTiT2WrHiHSpXfhxYwoMPlubUKbMTiUhxFxcZyYP9+pEM9PD3p9fo0WZHkvzk5QVffQXApenT2a3DA+U6VFxJkXX2bAJ33NGLhIR3KF/+Jb74Im0kOilc3Nyc2blzOsHBzThxAu69FxITzU4lIsVWaipHH3iAU5cu4WexMGnBArMTSUHo2JGDjzxCM6DL009zNiLC7ETioFRcSZGUlJRKkyYDuXRpOxZLeRYufIGSJc1OJbnl7Q2//AJlysD69X/TrNkrpKRYzY4lIsXRa69Rd8UKNrm58fvnnxMYEmJ2Iikg/uPHk+rqykmrlTubNiX2+HGzI4kDUnElRU5sbCLVqvXl+PH5gAsTJvxIq1aVzY4lN6lWLZg+/QzQkd27PyA4+FEuX04xO5aIFCPREybA+PEAVP7qK5o/+qjJiaQglfT1ZeGCBfhaLGxOSKBH/fpcOn/e7FjiYFRcSZFy6lQc1ap14+TJHwE3Xn55Hs8+29bsWJJH7r+/PE88MRVw5sCBr6latTfnz18yO5aIFAN//t//UfX55/kZ4K23NFlwMRV81138OWsWXsCqmBj61KlDckKC2bHEgai4kiLj7FmD4OBenD+/DPBk7NjfGTeut9mxJI9Nm/Ywb7zxM+BBVNSvVKsWytGjMWbHEpEibMaAAXR74w1igB+rVIGRI82OJCZq+uCD/DZxIiWA30+fZoAKLLmCiispEjZsgFatLMTGvobFEsDMmct55ZXOZseSfPLuu92ZMOFPwIvY2DXUrn0b8+ZtNzuWiBQxqUlJvNi8OY/PmkUK8ECVKnyxc6dGRxLaPvssP737Lq7AtqNHSezUCY4dMzuWOAAVV1KoxcYm8vDDG7jtNti/HwIDO7Nly34GDWppdjTJZ889145581bj5ORPYuJu+vefwzvvQHKy2clEpCiIPX6cXoGBfLRlCwDvdOrE7IMHcffyMjmZOIqub7zBT2++yfxSpSi1cSM0aQJ//GF2LDGZiisptL74YiN+fs2YPbszVutBHnoIduyAJk1KmB1NCsj99zdi584d1Kw5DMN4h1GjICQE1q/X4RkikktWK7HTp1OnShV+O30aD+C7oUN5MywMi5M+Nklm3d55hwY7dkCzZnDuHB/fdRevhoQQFxlpdjQxid4lpNCZMuUvype/k8ceu5XExN1YLJ68++4xZs0CHx+z00lBq1fPj3///Zi5cz0oWxa2bbPSunULKlbsxZdfbjI7nogUJps3w2234fXkk9xptVLT1ZWVn39O308/NTuZOLLq1WHtWg4//DCvAOM2baJGQACf9u7N5ehos9NJAVNxJYXCxYvJjBixgDJlOvDMM205e3Yx4ET16gPYs2c3b7zR3uyIYiKLBfr1g9274fbbNwJ7iYxcyKOPhlCu3B2MHPkbcXFJZscUEQeUnJDAgtde4y4/Pza0aJF2Eq+nJx++9Ra7zp4lZPBgsyNKYeDuTtVvvuH7V16hpqsrpw2DYT//TC1fXybffz/nDxwwO6EUEIcoriZPnkzVqlXx8PAgJCSETZuu/23z/PnzCQ4OxsPDgwYNGrBo0aJM1xuGwciRI6lYsSIlSpSgc+fO7Nu3Lz9vguSD6OhkFi6EBx+EgACDMWMGEhOzCnAlOHgIYWH/cuDA1wQH+5od1W6bN2+mU6dObN682ewoWXL0fNnx94dly1rx22+7qVHjEcCZ8+eX8e673Sld2o8aNQYwefJuLmn0dpFiLTkhgXXTp/O/1q2pXLo094wdyx9nzvAZpP3T+fdfvEeNMvX8Kkd+H3bkbGBuvnvGjmVPdDSfPfwwlZydOZ6ayrPz5+Nfsya/tmwJc+dCXFyB55ICZJjsu+++M9zc3IyZM2cau3fvNoYMGWKUKVPGiIqKyrL92rVrDWdnZ2PcuHHGnj17jDfeeMNwdXU1/vnnH1ubMWPGGN7e3saCBQuMHTt2GD169DCqVatmXLp0KUeZYmJiDMCIiYnJk9soN3buXILxww87jaeemm00aPCMUaJEEwMqGmA1wDDAMEqXfs1o0eJlY9OmY2bHvWnPPfecARhDhw41O0qWHD1fTq1Zc8ho3Ph5w8nJ3wDSLxsNFxfDaN7cMO67b63x7LNzjAULdhkXLuTs/UFEChmr1TBOnjSMpUuNhNGjjbv9/IxStveDtIufxWK8GhJi7Fu2zOy0No78PuzI2QzDcfJdunDB+LR3b6ORh4fhBEZkxgcaFxfji6pVjecbNzbmDRtm7A8LM5Jz+BlVzGFPbWAxDMMwp6xLExISQosWLZg0aRIAVquVwMBAnnvuOV577bVr2vft25f4+Hh+++0327Jbb72Vxo0bM23aNAzDICAggBdffJGXXnoJgJiYGCpUqMBXX31Fv379bpgpNjYWb29vYmJi8NKoQHZLTEwlJuYyFy8mEhNzmZMnY4iMjCEqKoaoqAtUqXIfZ864EBkJq1aN5Nixr0hNzXr40oCAA/TtW53774eWLaEwn0t85MgRzp49i8Vi4c477+T06dP4+fnxxx9/YBgGvr6+VKlSRfnyQVJSKjNmrOPrr//k5Ml3OXEiYxjlQcBX6b9bcHaujLd3LcqWrYSvrz/33PMGlSt74u0N0dH7sVji8PUtRfnypShf3hM/P09cXArxk1KkEEpNSiIpNpYSFgtcvgyxsWzduJGoo0e5EBXFqaNHOXHyJCfOnOF4dDTlLl/mlyuGEa0JHADKWix0DAigf//+dB81CrdSpUy7TRkc+X3YkbMVhnxHly2j8sqVaXuuDh4kFFhyxfWuQHU3N2qVKUPVChWYcN99WCpWhAoV2H3hApednfEsWxbPcuXw9PXFs3x53EqV0iArBcSe2sDU4iopKYmSJUvyww8/0KtXL9vyRx55hOjoaBYuXHjNOpUrV2b48OEMGzbMtmzUqFEsWLCAHTt2cPDgQWrUqMG2bdto3LixrU379u1p3Lgxn2ZxUmpiYiKJiYm2v2NjYwkMDHSI4mpI8Bp+OziF+NS9pD1QBv89YAYW3KhT8hsMLBiGhWOJ73PRuuWKHgzSHuK0tWp6/AqWtBfiqaTRxKWuvqJX4791sFDZ7XecLCUwsHA2eTRxqb8DlqvaGRgkUdppE8n4kWh1JZVnIO3gimycAALSf38ZGA+ABW88napSyyOADl4e9C93kRalLubmbrvi5t/k0zsP17dccXhCxr145b0JYDRvnm/bvxHL1q3//U42+Zo0ybft58v6WfRhGHAkOYD18Q2ZdO4IOy7tJt44CsRmsXISaf/yAPoD32XRpgTgQhmncFwsHrhYUolLfZNLxu9YcMKCMxZL+k+csWChttvnuFjS3lsiUz7nQurSq/q0kFH+1XKfgKvFFwsGkSnfci7lj2xaQk230Xg4pb22olJ+4kzqwmzb1nAdSUmnalgwOJ2yiMjUH7K4bQAG1V1fpZRTEABnU5dxMvnbbNpCVdcX8HJuCMD51NUcS56Zqa8rVXF9ljLOLQCITt3AkeQp2fYb6Po4ZZ3bABCTupVDyR9n27aS6yP4OqfNc3cxdTcHkt/Ptm2AywP4Od8NQLx1P/uSs58c1t/5Xvxd7gXgkvUo4cmvZnvb/Jy7c4vLg4BBohHFnqTns+3X1zmUQJdBACQb0fyT9Hi2bcs5daSK61MApBqX2JE0INu2Pk6tqebyQlo6w8rW5D7ZtvW2NKem6wjb39uS+mMl4zzFzLettKU+tV3fsf29PWkAqUbW79WeTrUIdh1r+3tn0hCSjDNZti1hqUI9t//+R+9KeobLxnEMUrCShJUkDJIwSMWDQJox57+8DCCBQ1n260JpWvI7Fo+SULIkF1y34updFU/fW7FYnLO+Q0yydu2V82dl/U58223mfGxz5Gzg+Pn+Y0BiIudOfEd0TBgXL28mwXoQg//OC3ahNCH8d8rLLp4nhq1Z9OWMK2Vo6fJb+txrFvalvkOMdSsWnMH2v8fJ9nejEnOwpM/TdjjxU2JSsz90skGJL3CyuANwNGk6F1L+yrZtvZKTbf/Xjid9xfnk5dm2DS7xEW5Oaad0nEr6jjPJGf/XMs8fV8KpCrff8gpzDrfOtq+CYk9x5VJAmbJ09uxZUlNTqVChQqblFSpUIDw8PMt1IiMjs2wfmT7kZcbP67W52ujRo3n77bdzdRvy247jZYlMjgR2ZNOiBH/H1b3i73PAnmz723WpJv89eWOB7M9FO5B4C5DxTd4l4Gi2bWOsbqR9yARwv+IaJyx44UwpXCiJOyVoww/UxIo/kTixjzLUoz0nqcUFnKw7IGEHJABFbBTT2cBAIIUry9M0LqTvPzHx+PUc5du2raBj5TkLUJWdVGUx/dOXWYG9lGMVAWzFi2O4cA5navATUVTgIqU5gJWLVMDKJSAufS1Ie21AtLUc/z3344Hj/230qv/nOxJrA+XS/7oM7M427/bLNYDK6X99DfyTfdvEakCd9L9+AnZep20VIKNYXkr27zGwI7ES0Cz9r3XXzfBPkv8VbXcAu7Jtuzup/BVt93O99669ST5XtD0J7M22bUSSFxG2tjFARLZt9yV7si85o20K8G+2bQ+keHAgJaOtG9d7/zyc4sphW9uDpO0rydrRFCeOpmR8sRIF2RQJAMdTO3A8NaPtReBwtm0vpbbkpK2tleu9h182GhKVeOWXO8dJe25m1bYmZzK1jQLOZ93WGsDaxBZXLDlP2uN3rUSj7FVtLwKnsu4XC2tpc8WS5kCZ9EsFoBJwC3ALKdRiHY3gsiX9JtVJi5z9Q22iG78Tr11rQizAsbOB4+fLYAE8SMs6MH2ZFThG2nvKPlJIvOr5XRM4Tdr/ljggY09sKskksjbl1ivapmB73VxdSxoW1sVf+SXpRa73Hr0+vgH/fbaL53rv/Rvj6gAZ58Bf5nr/f/6Orwlk7EWcRXb/fy5andh6yj/bfhyVqcWVoxgxYgTDhw+3/Z2x58oRjH03mXV/9+Xi5VAsWLBYLFgwsDhZsGDB2cmJFjXXAWlfWuw71ZuYhE44WdJLKIsFJ6e0YsrJYqFp9bU4OaVddyiqGzEJbWzXW4D0X7E4WWhQ+W9cnJ3BYuH4uTuIiW9h6yftCxILTkBJdxfqVt5JKY9duLtaSU3tgJtLO7w9nfFwc7rOTPbVgRx8G5Ht+jnkIOs/CNTZv59mz1/7DfbGTz+lac2a+br9G7Hle+65a67bOHEiTWvVytft59v6OejDCaiXfrlWCliigcfTL2C1GkTHpRB1IYmzMYkkJlu5xXcLVsOJlFQLR0/fy9mY20lOTSUp2SAl1UpSipXkVCspqVYa1ziEq0ta8XXo1O2cia6baYtX/j9sWP0Ubq7RAByNuo3IC1VsO+Ou3rHXoHoMJdzT/vkdPd2Mk2c/ybbfelUv4+mR9k/15Nl6HDuTue2V6lRxwsszrQCMPF+Lo1ETMl1vueL+rVWpJGVKpbU9E12Zw5GTrv4y0qZGQFnKeqW1PR/rx6FTk7NJYKGqfyXKeacVXzFxZThwclq2eQP9alC+TFrbiwke7D8x/aru/gsUUK4qFcqmFWrxl2Df8RlZbR4A/7KB+JdLa3spMZF/j32ebYbyZQII8E1rm5icyL9Hv8y2bVmvCtxSPu0LxeSUJCKOfp3l9gHKlCpPJb+0YjE1NYXwI99ke9u8PcumtbWkDfS09/DsbDOUKulN5Qr/FaHhR2Ze+8EsXUmP0lT2/68y2XdsOlZrapZtPdxLUqXif0XowRMTSUnNeqZvN1d3ql7R9vCpcSSnJOLs4oZrCc/0SyncSpbCtURpPEqngnPGnqfvs71thcuDHDxYh5dfbnbNNR98sJHq1ZuakCmDI2cDx893PU6kFRtVgM5ZXD8v018ply+RGHuey7EXSIqPoWLZY2C1gtXKyaiXiIt/DGtqMtbUlEwXw5pKk2r/Hd20/1RPouPSi7gsjhRpUmMnzk7OYBgcjLyDcxcbXXFt5vaNq0Xg6pL2xdDhqNs4HVM965tqQKOqh3F3TfsG/ciZJkReGJNl05LupWjV6ELW/TgwU4srX19fnJ2diYqKyrQ8KioKf/+sK1V/f//rts/4GRUVRcWKFTO1ufIwwSu5u7vj7u6e5XVm6/hCYzrS2I417Nl12ubGTSRvpR965+TkhNVqtf2kTRto6gBv/Nnla93aMfI5CCegbPolK42yWX7zrRva0baBHW3r29G2HtDVjrZZfVDIrm1HO3K0taOtPe+LIXa0bX7jJjaN7Whrz+Oc9VcCWQu2o22QHW1r29HWni9pcvmFTiGXcYT21e/DnTqZ/zbsyNnA8fPlnRJk7Jm9VjU7+rm2EM1eixs3yVVbe95zCwdTz4Jzc3OjWbNmhIWF2ZZZrVbCwsJo1apVluu0atUqU3uApUuX2tpXq1YNf3//TG1iY2PZuHFjtn2KFBQ/Pz/8/f1p1qwZ06ZNo1mzZvj7++Pn52d2NMDx84mIFHWO/D7syNnA8fNJ8WD6aIHz5s3jkUceYfr06bRs2ZJPPvmE77//nvDwcCpUqMCAAQO45ZZbGD16NADr1q2jffv2jBkzhrvvvpvvvvuO999/n61bt1K/ftq3r2PHjmXMmDF8/fXXVKtWjTfffJOdO3eyZ88ePDw8bphJowVKfkpMTMTNzQ2LxYJhGCQlJTnUnlNHzyciUtQ58vuwI2cDx88nhVOhGdAC0oZWP3PmDCNHjiQyMpLGjRuzePFi24AUR48exemKYSZbt27NnDlzeOONN/jf//5HrVq1WLBgga2wAnjllVeIj4/n8ccfJzo6mjZt2rB48eIcFVYi+e3KN3mLxeJwb/qOnk9EpKhz5PdhR84Gjp9Pij7T91w5Iu25EhERERERsK820MxjIiIiIiIieUDFlYiIiIiISB5QcSUiIiIiIpIHVFyJiIiIiIjkARVXIiIiIiIieUDFlYiIiIiISB4wfZ4rR5QxOn1sbKzJSURERERExEwZNUFOZrBScZWFixcvAhAYGGhyEhERERERcQQXL17E29v7um00iXAWrFYrJ0+epHTp0lgsFrPj5KnY2FgCAwM5duyYJkg2kR4Hx6HHwjHocXAceiwcgx4Hx6DHwXGY+VgYhsHFixcJCAjAyen6Z1Vpz1UWnJycqFSpktkx8pWXl5feJByAHgfHocfCMehxcBx6LByDHgfHoMfBcZj1WNxoj1UGDWghIiIiIiKSB1RciYiIiIiI5AEVV8WMu7s7o0aNwt3d3ewoxZoeB8ehx8Ix6HFwHHosHIMeB8egx8FxFJbHQgNaiIiIiIiI5AHtuRIREREREckDKq5ERERERETygIorERERERGRPKDiSkREREREJA+ouCriDh8+zODBg6lWrRolSpSgRo0ajBo1iqSkpOuu16FDBywWS6bLk08+WUCpi4bJkydTtWpVPDw8CAkJYdOmTddtP3/+fIKDg/Hw8KBBgwYsWrSogJIWXaNHj6ZFixaULl0aPz8/evXqRURExHXX+eqrr6557nt4eBRQ4qLprbfeuuY+DQ4Ovu46ej3kj6pVq17zWFgsFp555pks2+v1kDdWr15N9+7dCQgIwGKxsGDBgkzXG4bByJEjqVixIiVKlKBz587s27fvhv3a+39Grv9YJCcn8+qrr9KgQQM8PT0JCAhgwIABnDx58rp95uY9rri70Wti4MCB19ynXbt2vWG/jvCaUHFVxIWHh2O1Wpk+fTq7d+/m448/Ztq0afzvf/+74bpDhgzh1KlTtsu4ceMKIHHRMG/ePIYPH86oUaPYunUrjRo1IjQ0lNOnT2fZft26dfTv35/Bgwezbds2evXqRa9evdi1a1cBJy9aVq1axTPPPMOGDRtYunQpycnJdOnShfj4+Ouu5+Xllem5f+TIkQJKXHTVq1cv0336119/ZdtWr4f88/fff2d6HJYuXQpAnz59sl1Hr4ebFx8fT6NGjZg8eXKW148bN44JEyYwbdo0Nm7ciKenJ6GhoVy+fDnbPu39PyNprvdYJCQksHXrVt588022bt3KTz/9REREBD169Lhhv/a8x8mNXxMAXbt2zXSfzp0797p9OsxrwpBiZ9y4cUa1atWu26Z9+/bG888/XzCBiqCWLVsazzzzjO3v1NRUIyAgwBg9enSW7e+//37j7rvvzrQsJCTEeOKJJ/I1Z3Fz+vRpAzBWrVqVbZsvv/zS8Pb2LrhQxcCoUaOMRo0a5bi9Xg8F5/nnnzdq1KhhWK3WLK/X6yHvAcbPP/9s+9tqtRr+/v7GBx98YFsWHR1tuLu7G3Pnzs22H3v/z8i1rn4ssrJp0yYDMI4cOZJtG3vf4ySzrB6HRx55xOjZs6dd/TjKa0J7roqhmJgYypYte8N23377Lb6+vtSvX58RI0aQkJBQAOkKv6SkJLZs2ULnzp1ty5ycnOjcuTPr16/Pcp3169dnag8QGhqabXvJnZiYGIAbPv/j4uKoUqUKgYGB9OzZk927dxdEvCJt3759BAQEUL16dR588EGOHj2abVu9HgpGUlISs2fP5tFHH8VisWTbTq+H/HXo0CEiIyMzPee9vb0JCQnJ9jmfm/8zkjsxMTFYLBbKlClz3Xb2vMdJzqxcuRI/Pz+CgoJ46qmnOHfuXLZtHek1oeKqmNm/fz8TJ07kiSeeuG67Bx54gNmzZ7NixQpGjBjBrFmzeOihhwooZeF29uxZUlNTqVChQqblFSpUIDIyMst1IiMj7Wov9rNarQwbNozbbruN+vXrZ9suKCiImTNnsnDhQmbPno3VaqV169YcP368ANMWLSEhIXz11VcsXryYqVOncujQIdq2bcvFixezbK/XQ8FYsGAB0dHRDBw4MNs2ej3kv4zntT3P+dz8nxH7Xb58mVdffZX+/fvj5eWVbTt73+Pkxrp27co333xDWFgYY8eOZdWqVdx5552kpqZm2d6RXhMuBbo1yTOvvfYaY8eOvW6bvXv3Zjqh8sSJE3Tt2pU+ffowZMiQ/2/n/kKaesM4gD+/bGfeOWzmluLYNCtCyYRkXqi1CCzIu/RGugiFyIvAwm5CrJsuwhsvREHmZXihCHohTR2CpGBNtJRwYxijWtCFGvYP/XYROzT3r/U7c/75fuDA2Tnve3zPed/nPXt25uLWbW5uVtdLSkrEbDaLw+EQn88nhYWF/6/xRGlw584def36dcLvwdvtdrHb7erryspKOXPmjPT09Mjjx49T3cwDqba2Vl0vLS2ViooKsVgsMjAwILdu3Upjyw63vr4+qa2tlRMnTsQsw3igw+rnz59y48YNASDd3d1xy3KO015DQ4O6XlJSIqWlpVJYWChut1scDkcaW5YYk6t9qrW1Ne6njSIiNptNXX///r1cvHhRKisrpbe3N+m/V1FRISK/n3wxuYrPaDRKRkaGBIPBsO3BYFBMJlPUOiaTKanylJyWlhYZGRmRqakpyc/PT6quTqeTsrIy8Xq9KWrd4WMwGKS4uDjmNWU8pN7q6qq4XC4ZHBxMqh7jQXuhcR0MBsVsNqvbg8GgnDt3Lmqdf7nP0N8LJVarq6syMTER96lVNInmOEqezWYTo9EoXq83anK1l2KCXwvcp3JycuT06dNxF0VRROT3E6uamhopLy8Xp9MpR44k3+3z8/MiImETP0WnKIqUl5fL+Pi4um17e1vGx8fDPgH+k91uDysvIvL8+fOY5envAJCWlhYZGhqSiYkJsVqtSR9ja2tLFhcXOfY19OXLF/H5fDGvKeMh9ZxOpxw/flyuXbuWVD3Gg/asVquYTKawMb++vi6zs7Mxx/y/3Gfo74QSq5WVFXG5XHLs2LGkj5FojqPkBQIB+fz5c8xruqdiYld/PoN2XSAQQFFRERwOBwKBAD58+KAuf5Y5deoUZmdnAQBerxePHj3C3Nwc/H4/hoeHYbPZUFVVla7T2HeePXsGvV6P/v5+LC0tobm5GQaDAR8/fgQANDY24sGDB2r56elpHD16FE+fPsXy8jLa29uh0+mwuLiYrlM4EG7fvo2srCy43e6wsb+5uamW2dkXHR0dGBsbg8/nw8uXL9HQ0IDMzEy8efMmHadwILS2tsLtdsPv92N6ehqXL1+G0WjEp0+fADAedtvW1hYKCgrQ1tYWsY/xkBobGxvweDzweDwQEXR2dsLj8ai/QPfkyRMYDAYMDw9jYWEBdXV1sFqt+Pr1q3qMS5cuoaurS32d6D5D0cXrix8/fuD69evIz8/H/Px82H3j+/fv6jF29kWiOY4ixeuHjY0N3Lt3Dy9evIDf74fL5cL58+dx8uRJfPv2TT3GXo0JJlcHnNPphIhEXUL8fj9EBJOTkwCAd+/eoaqqCtnZ2dDr9SgqKsL9+/extraWprPYn7q6ulBQUABFUXDhwgXMzMyo+6qrq3Hz5s2w8gMDAyguLoaiKDh79ixGR0d3ucUHT6yx73Q61TI7++Lu3btqv+Xm5uLq1at49erV7jf+AKmvr4fZbIaiKMjLy0N9fT28Xq+6n/Gwu8bGxiAiePv2bcQ+xkNqTE5ORp2LQtd6e3sbDx8+RG5uLvR6PRwOR0T/WCwWtLe3h22Ld5+h6OL1Rej9ULQl9B4JiOyLRHMcRYrXD5ubm7hy5QpycnKg0+lgsVjQ1NQUkSTt1Zj4DwBS+WSMiIiIiIjoMOD/XBEREREREWmAyRUREREREZEGmFwRERERERFpgMkVERERERGRBphcERERERERaYDJFRERERERkQaYXBEREREREWmAyRUREREREZEGmFwRERERERFpgMkVERERERGRBphcERERERERaYDJFRERERERkQZ+Ac6QiTyDb4u7AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.arange(-3, 15, 0.1)\n",
    "Y1 = weights[0].item() * scipy.stats.norm.pdf((X - locs[0].item()) / scale.item())\n",
    "Y2 = weights[1].item() * scipy.stats.norm.pdf((X - locs[1].item()) / scale.item())\n",
    "\n",
    "pyplot.figure(figsize=(10, 4), dpi=100).set_facecolor(\"white\")\n",
    "pyplot.plot(X, Y1, \"r-\")\n",
    "pyplot.plot(X, Y2, \"b-\")\n",
    "pyplot.plot(X, Y1 + Y2, \"k--\")\n",
    "pyplot.plot(data.data.numpy(), np.zeros(len(data)), \"k*\")\n",
    "pyplot.title(\"Density of two-component mixture model\")\n",
    "pyplot.ylabel(\"probability density\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally note that optimization with mixture models is non-convex and can often get stuck in local optima. For example in this tutorial, we observed that the mixture model gets stuck in an everthing-in-one-cluster hypothesis if `scale` is initialized to be too large.\n",
    "\n",
    "## Serving the model: predicting membership\n",
    "\n",
    "Now that we've trained a mixture model, we might want to use the model as a classifier. \n",
    "During training we marginalized out the assignment variables in the model. While this provides fast convergence, it prevents us from reading the cluster assignments from the guide. We'll discuss two options for treating the model as a classifier: first using [infer_discrete](http://docs.pyro.ai/en/dev/inference_algos.html#pyro.infer.discrete.infer_discrete) (much faster) and second by training a secondary guide using enumeration inside SVI (slower but more general).\n",
    "\n",
    "### Predicting membership using discrete inference\n",
    "\n",
    "The fastest way to predict membership is to use the [infer_discrete](http://docs.pyro.ai/en/dev/inference_algos.html#pyro.infer.discrete.infer_discrete) handler, together with `trace` and `replay`. Let's start out with a MAP classifier, setting `infer_discrete`'s temperature parameter to zero. For a deeper look at effect handlers like `trace`, `replay`, and `infer_discrete`, see the [effect handler tutorial](http://pyro.ai/examples/effect_handlers.html)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([1, 1, 0, 0, 0])\n"
     ]
    }
   ],
   "source": [
    "guide_trace = poutine.trace(global_guide).get_trace(data)  # record the globals\n",
    "trained_model = poutine.replay(model, trace=guide_trace)  # replay the globals\n",
    "\n",
    "\n",
    "def classifier(data, temperature=0):\n",
    "    inferred_model = infer_discrete(\n",
    "        trained_model, temperature=temperature, first_available_dim=-2\n",
    "    )  # avoid conflict with data plate\n",
    "    trace = poutine.trace(inferred_model).get_trace(data)\n",
    "    return trace.nodes[\"assignment\"][\"value\"]\n",
    "\n",
    "\n",
    "print(classifier(data))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Indeed we can run this classifer on new data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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GQP6yY2fOnEFiYiKA/FKDwYMHS/3feecdXL16FVOmTMGlS5ewYsUK7NixAxMmTJD6hISEYO3atdi4cSMuXryI0aNHIzs7G8OGDSvTz0ZEVJa0Ce8jdblYeIeIqFwxaknDyZMn0alTJ+m5to52yJAhCA8Px+3bt6XkFwBq1aqFvXv3YsKECfjiiy9Qo0YNfPXVVwgICJD6BAYG4s6dO5g5cyaSkpLg4+ODyMhIvRvZiIhMifLfhJc1vERE+srNOrzlSVmvw0tE9LwGrv0dR6+k4osgH/T1qW7scIiISp2cfK1C1fASEZFhltIML+cwiIiexoSXiMgEPK7hZUkDEdHTmPASEZkApcW/y5Ix4SUi0sOEl4jIBFiYaZclY0kDEdHTmPASEZkAS67SQERUINkJr7m5OVJSUvTaU1NTYW5uXiJBERGRPNqSBtbwEhHpk53wFrSKWU5ODpRK5XMHRERE8j3eaY0lDURETyvyxhNffvklAEChUOCrr76CjY2N9JparcYvv/yC+vXrl3yERET0TNoaXpY0EBHpK3LC+/nnnwPIn+FdtWqVTvmCUqmEl5cXVq1aVfIREhHRM1lqV2l4xISXiOhpRU54ExISAACdOnXC7t274eDgUGpBERGRPNqthR9pWNJARPS0Iie8WocOHSqNOIiI6Dk8ruHlDC8R0dNkJ7xqtRrh4eGIiopCSkoKNBrdL9eDBw+WWHBERFQ0FuYsaSAiKojshHfcuHEIDw9Hz5490ahRIygUitKIi4iIZFByHV4iogLJTni3bduGHTt2oEePHqURDxERFcPjjSdYw0tE9DTZ6/AqlUp4e3uXRixERFRM3GmNiKhgshPeiRMn4osvvihwAwoiIip7Ug0vE14iIj2ySxqOHDmCQ4cO4aeffkLDhg1haWmp8/ru3btLLDgiIioaJUsaiIgKJDvhtbe3R//+/UsjFiIiKiYuS0ZEVDDZCe+GDRtKIw4iInoOlv+WNDxiwktEpEd2DS8APHr0CAcOHMDq1auRmZkJALh16xaysrJKNDgiIioaSwuWNBARFUT2DO/169fRrVs3JCYmIicnB126dEGVKlUwf/585OTkYNWqVaURJxERFcLSjKs0EBEVRPYM77hx49CyZUvcv38f1tbWUnv//v0RFRVVosEREVHRaEsaWMNLRKRP9gzvr7/+iqNHj0KpVOq0e3l54e+//y6xwIiIqOi0JQ2PWNJARKRH9gyvRqOBWq3Wa7958yaqVKlSIkEREZE83FqYiKhgshPerl27YsmSJdJzhUKBrKwshIWFFXu74eXLl8PLywtWVlbw9fXF8ePHC+zbsWNHKBQKvUfPnj2lPkOHDtV7vVu3bsWKjYioIuDGE0REBZNd0rBo0SIEBASgQYMGePjwIQYOHIjLly/D0dERW7dulR3A9u3bERISglWrVsHX1xdLlixBQEAA4uLi4OzsrNd/9+7dyM3NlZ6npqaiadOmGDBggE6/bt266SyhplKpZMdGRFRRSOvwPmLCS0T0NNkJb40aNXD27Fls27YN586dQ1ZWFoYPH45Bgwbp3MRWVIsXL8aIESMwbNgwAMCqVauwd+9erF+/HtOmTdPrX7VqVZ3n27ZtQ6VKlfQSXpVKBVdXV9nxEBFVRNqShkca1vASET1NdsILABYWFnjjjTee+81zc3Nx6tQphIaGSm1mZmbw9/dHTExMkcZYt24dgoKCULlyZZ326OhoODs7w8HBAZ07d8bHH3+MatWqGRwjJycHOTk50vOMjIxifBoiIuOxZA0vEVGBipXw3rp1C0eOHEFKSgo0Gt0v1/fff7/I49y9exdqtRouLi467S4uLrh06dIzjz9+/DguXLiAdevW6bR369YNr776KmrVqoUrV65g+vTp6N69O2JiYmBubq43zrx58zBr1qwix01EVN48ruEVEEJAoVAYOSIiovJDdsIbHh6OUaNGQalUolq1ajpfqgqFQlbC+7zWrVuHxo0bo3Xr1jrtQUFB0s+NGzdGkyZNUKdOHURHR+OVV17RGyc0NBQhISHS84yMDHh4eJRe4EREJUw7wwvkJ71KCya8RERashPeGTNmYObMmQgNDYWZWbF2JpY4OjrC3NwcycnJOu3JycnPrL/Nzs7Gtm3bMHv27Ge+T+3ateHo6Ij4+HiDCa9KpeJNbURUoSmfSHgfaTRQFm/neCIikyT7G/HBgwcICgp67mQXAJRKJVq0aKGzQ5tGo0FUVBT8/PwKPXbnzp3IyckpUi3xzZs3kZqaCjc3t+eOmYioPNLutAYAeY944xoR0ZNkZ63Dhw/Hzp07SyyAkJAQrF27Fhs3bsTFixcxevRoZGdnS6s2DB48WOemNq1169ahX79+ejeiZWVlYfLkyfj9999x7do1REVFoW/fvvD29kZAQECJxU1EVJ6Ymz1OeLm9MBGRLtklDfPmzUOvXr0QGRmJxo0bw9LSUuf1xYsXyxovMDAQd+7cwcyZM5GUlAQfHx9ERkZKN7IlJibqzSbHxcXhyJEj+Pnnn/XGMzc3x7lz57Bx40akpaXB3d0dXbt2xZw5c1i2QEQmS6FQQGluhly1his1EBE9pVgJ7759+1CvXj0A0LtprTjGjh2LsWPHGnwtOjpar61evXoQwvCf7KytrbFv375ixUFEVJFZmiuQq+bSZERETyvWTmvr16/H0KFDSyEcIiIqLksLMyBXjTw1a3iJiJ4ku4ZXpVKhbdu2pRELERE9Bwszbj5BRGSI7IR33LhxWLp0aWnEQkREz0EpbT7BhJeI6EmySxqOHz+OgwcPYs+ePWjYsKHeTWu7d+8useCIiKjoLC04w0tEZIjshNfe3h6vvvpqacRCRETPQbvbGmt4iYh0yU54N2zYUBpxEBHRc7IwY0kDEZEh3HuSiMhEKFnSQERkkOyENzk5GW+++Sbc3d1hYWEBc3NznQcRERmHtqQhl1sLExHpkF3SMHToUCQmJmLGjBlwc3Mr9mYTRERUsiz/XaXhkYYzvERET5Kd8B45cgS//vorfHx8SiEcIiIqrsc3rTHhJSJ6kuySBg8PjwK39SUiIuOREl6WNBAR6ZCd8C5ZsgTTpk3DtWvXSiEcIiIqLm1JQy5neImIdMguaQgMDMSDBw9Qp04dVKpUSW/jiXv37pVYcEREVHTaGd5HTHiJiHTITniXLFlSCmEQEdHz4sYTRESGyU54hwwZUhpxEBHRc2JJAxGRYbIT3oyMDIPtCoUCKpUKSqXyuYMiIiL5uEoDEZFhshNee3v7QtferVGjBoYOHYqwsDCYmXEjNyKissKEl4jIMNkJb3h4OD744AMMHToUrVu3BgAcP34cGzduxIcffog7d+5g4cKFUKlUmD59eokHTEREhkkbT7CGl4hIh+yEd+PGjVi0aBFef/11qa13795o3LgxVq9ejaioKNSsWROffPIJE14iojIkbS3MGV4iIh2yaw6OHj2KZs2a6bU3a9YMMTExAIB27dohMTHx+aMjIqIiY0kDEZFhxdppbd26dXrt69atg4eHBwAgNTUVDg4Ozx8dEREVmdKCO60RERkiu6Rh4cKFGDBgAH766Se0atUKAHDy5ElcunQJ3377LQDgxIkTCAwMLNlIiYioUBZm+TW8eRrO8BIRPUl2wtunTx9cunQJa9asQVxcHACge/fuiIiIgJeXFwBg9OjRJRokERE9GzeeICIyTHbCCwC1atXCvHnzSjoWIiJ6DpZSSQNneImInlSkGt5z585B8++fyM6dO1fooziWL18OLy8vWFlZwdfXF8ePHy+wb3h4OBQKhc7DyspKp48QAjNnzoSbmxusra3h7++Py5cvFys2IqKKQvnvsmS8aY2ISFeRZnh9fHyQlJQEZ2dn+Pj4QKFQQAj9P5kpFAqo1WpZAWzfvh0hISFYtWoVfH19sWTJEgQEBCAuLg7Ozs4Gj7G1tZXKKbTv+6QFCxbgyy+/xMaNG1GrVi3MmDEDAQEB+PPPP/WSYyIiUyGVNGhY0kBE9KQiJbwJCQlwcnKSfi5JixcvxogRIzBs2DAAwKpVq7B3716sX78e06ZNM3iMQqGAq6urwdeEEFiyZAk+/PBD9O3bFwDw9ddfw8XFBREREQgKCirR+ImIygsLc5Y0EBEZUqSE19PT0+DPzys3NxenTp1CaGio1GZmZgZ/f39pTV9DsrKy4OnpCY1Gg+bNm2Pu3Llo2LAhgPyEPCkpCf7+/lJ/Ozs7+Pr6IiYmxmDCm5OTg5ycHOl5RkZGSXw8IqIyxZIGIiLDZK/Du3HjRuzdu1d6PmXKFNjb26NNmza4fv26rLHu3r0LtVoNFxcXnXYXFxckJSUZPKZevXpYv349vv/+e2zevBkajQZt2rTBzZs3AUA6Ts6Y8+bNg52dnfTQridMRFSRcOMJIiLDZCe8c+fOhbW1NQAgJiYGy5Ytw4IFC+Do6IgJEyaUeIBP8/Pzw+DBg+Hj44MOHTpg9+7dcHJywurVq4s9ZmhoKNLT06XHjRs3SjBiIqKywWXJiIgMk70s2Y0bN+Dt7Q0AiIiIwGuvvYaRI0eibdu26Nixo6yxHB0dYW5ujuTkZJ325OTkAmt0n2ZpaYlmzZohPj4eAKTjkpOT4ebmpjOmj4+PwTFUKhVUKpWs2ImIyhsLljQQERkke4bXxsYGqampAICff/4ZXbp0AQBYWVnhn3/+kTWWUqlEixYtEBUVJbVpNBpERUXBz8+vSGOo1WqcP39eSm5r1aoFV1dXnTEzMjJw7NixIo9JRFQRKVnSQERkkOwZ3i5duuDtt99Gs2bN8Ndff6FHjx4AgD/++EPaaU2OkJAQDBkyBC1btkTr1q2xZMkSZGdnS6s2DB48GNWrV5c2upg9ezb++9//wtvbG2lpafjss89w/fp1vP322wDyV3AYP348Pv74Y9StW1dalszd3R39+vWTHR8RUUXBkgYiIsNkJ7zLly/Hhx9+iBs3bmDXrl2oVq0aAODUqVMIDg6WHUBgYCDu3LmDmTNnIikpCT4+PoiMjJRuOktMTISZ2eOJ6Pv372PEiBFISkqCg4MDWrRogaNHj6JBgwZSnylTpiA7OxsjR45EWloa2rVrh8jISK7BS0QmjTetEREZphCGdpB4wWVkZMDOzg7p6emwtbU1djhEREVyOTkTXT7/BQ6VLHF6Zldjh0NEVKrk5Guya3gjIyNx5MgR6fny5cvh4+ODgQMH4v79+/KjJSKiEsGSBiIiw2QnvJMnT5Y2Zjh//jwmTpyIHj16ICEhASEhISUeIBERFY2lRf5Xei5LGoiIdMiu4U1ISJDqZXft2oVevXph7ty5iI2NlW5gIyKismfJZcmIiAySPcOrVCrx4MEDAMCBAwfQtWt+nVjVqlW5JS8RkRFZ/nuDrxCAWsOyBiIiLdkzvO3atUNISAjatm2L48ePY/v27QCAv/76CzVq1CjxAImIqGi0JQ1A/iyvuZm5EaMhIio/ZM/wLlu2DBYWFvj222+xcuVKVK9eHQDw008/oVu3biUeIBERFY22pAFgHS8R0ZNkz/DWrFkTe/bs0Wv//PPPSyQgIiIqHssn1izPe8SEl4hIS3bC+6SHDx8iNzdXp43r1hIRGYeZmQLmZgqoNQKPWMNLRCSRXdKQnZ2NsWPHwtnZGZUrV4aDg4POg4iIjEdb1pDLGV4iIonshHfKlCk4ePAgVq5cCZVKha+++gqzZs2Cu7s7vv7669KIkYiIiojbCxMR6ZNd0vDjjz/i66+/RseOHTFs2DC0b98e3t7e8PT0xJYtWzBo0KDSiJOIiIpAyd3WiIj0yJ7hvXfvHmrXrg0gv1733r17APKXK/vll19KNjoiIpLFgptPEBHpkZ3w1q5dGwkJCQCA+vXrY8eOHQDyZ37t7e1LNDgiIpKHJQ1ERPpkJ7zDhg3D2bNnAQDTpk3D8uXLYWVlhQkTJmDy5MklHiARERUdSxqIiPTJruGdMGGC9LO/vz8uXbqEU6dOwdvbG02aNCnR4IiISB7O8BIR6XuudXgBwNPTE56eniURCxERPSfW8BIR6ZNd0kBEROWXJUsaiIj0MOElIjIhSpY0EBHpYcJLRGRCLC1Y0kBE9DQmvEREJsTCLP9rnVsLExE9JjvhjY2Nxfnz56Xn33//Pfr164fp06cjNze3RIMjIiJ5tDW8jzSs4SUi0pKd8I4aNQp//fUXAODq1asICgpCpUqVsHPnTkyZMqXEAyQioqJTsqSBiEiP7IT3r7/+go+PDwBg586dePnll/HNN98gPDwcu3btKun4iIhIBu0ML0saiIgek53wCiGg0eR/kR44cAA9evQAAHh4eODu3bslGx0REcmireHlsmRERI/JTnhbtmyJjz/+GJs2bcLhw4fRs2dPAEBCQgJcXFyKFcTy5cvh5eUFKysr+Pr64vjx4wX2Xbt2Ldq3bw8HBwc4ODjA399fr//QoUOhUCh0Ht26dStWbEREFYm2pOERSxqIiCSyE94lS5YgNjYWY8eOxQcffABvb28AwLfffos2bdrIDmD79u0ICQlBWFgYYmNj0bRpUwQEBCAlJcVg/+joaAQHB+PQoUOIiYmBh4cHunbtir///lunX7du3XD79m3psXXrVtmxERFVNNxamIhIn0IIUSJ/93r48CHMzc1haWkp6zhfX1+0atUKy5YtAwBoNBp4eHjgvffew7Rp0555vFqthoODA5YtW4bBgwcDyJ/hTUtLQ0REhOzPAQAZGRmws7NDeno6bG1tizUGEZExzNnzJ9YdScA7HepgWvf6xg6HiKjUyMnXZM/w3rhxAzdv3pSeHz9+HOPHj8fXX38tO9nNzc3FqVOn4O/v/zggMzP4+/sjJiamSGM8ePAAeXl5qFq1qk57dHQ0nJ2dUa9ePYwePRqpqakFjpGTk4OMjAydBxFRRWRhzlUaiIieJjvhHThwIA4dOgQASEpKQpcuXXD8+HF88MEHmD17tqyx7t69C7VarVf76+LigqSkpCKNMXXqVLi7u+skzd26dcPXX3+NqKgozJ8/H4cPH0b37t2hVqsNjjFv3jzY2dlJDw8PD1mfg4iovNBuLcwaXiKix2QnvBcuXEDr1q0BADt27ECjRo1w9OhRbNmyBeHh4SUdX6E+/fRTbNu2Dd999x2srKyk9qCgIPTp0weNGzdGv379sGfPHpw4cQLR0dEGxwkNDUV6err0uHHjRhl9AiKikiUtS8ZVGoiIJLIT3ry8PKhUKgD5y5L16dMHAFC/fn3cvn1b1liOjo4wNzdHcnKyTntycjJcXV0LPXbhwoX49NNP8fPPP6NJkyaF9q1duzYcHR0RHx9v8HWVSgVbW1udBxFRRcSb1oiI9MlOeBs2bIhVq1bh119/xf79+6Xlvm7duoVq1arJGkupVKJFixaIioqS2jQaDaKiouDn51fgcQsWLMCcOXMQGRmJli1bPvN9bt68idTUVLi5ucmKj4ioorFkDS8RkR7ZCe/8+fOxevVqdOzYEcHBwWjatCkA4IcffpBKHeQICQnB2rVrsXHjRly8eBGjR49GdnY2hg0bBgAYPHgwQkNDdd5/xowZWL9+Pby8vJCUlISkpCRkZWUBALKysjB58mT8/vvvuHbtGqKiotC3b194e3sjICBAdnxERBWJpVTDy5IGIiItC7kHdOzYEXfv3kVGRgYcHByk9pEjR6JSpUqyAwgMDMSdO3cwc+ZMJCUlwcfHB5GRkdKNbImJiTAze5yXr1y5Erm5uXjttdd0xgkLC8NHH30Ec3NznDt3Dhs3bkRaWhrc3d3RtWtXzJkzRyrFICIyVY9reDnDS0SkVWLr8JoSrsNLRBXVzpM3MPnbc+hYzwnhw+T/1Y2IqKKQk6/JnuEF8ndV27FjBxITE5Gbm6vzWmxsbHGGJCKiEqC04E1rRERPk13D++WXX2LYsGFwcXHB6dOn0bp1a1SrVg1Xr15F9+7dSyNGIiIqIgszbcLLP94REWnJTnhXrFiBNWvWYOnSpVAqlZgyZQr279+P999/H+np6aURIxERFRFXaSAi0ic74U1MTESbNm0AANbW1sjMzAQAvPnmm9i6dWvJRkdERLJYsqSBiEiP7ITX1dUV9+7dAwDUrFkTv//+OwAgISEBvP+NiMi4tFsL5z3i9zERkZbshLdz58744YcfAADDhg3DhAkT0KVLFwQGBqJ///4lHiARERWdhRlLGoiIniZ7lYY1a9ZAo8n/Ih0zZgyqVauGo0ePok+fPhg1alSJB0hEREUnlTRomPASEWnJTnjNzMx0NoIICgpCUFBQiQZFRETFw5IGIiJ9RUp4z507V+QBmzRpUuxgiIjo+Wh3WmNJAxHRY0VKeH18fKBQKJ55U5pCoYBarS6RwIiISD6Lf5cl49bCRESPFSnhTUhIKO04iIioBGhLGh5x4wkiIkmREl5PT8/SjoOIiEoASxqIiPTJXpZs3rx5WL9+vV77+vXrMX/+/BIJioiIike709ojjYBGw1leIiKgGAnv6tWrUb9+fb32hg0bYtWqVSUSFBERFY+F+eOvdS5NRkSUT3bCm5SUBDc3N712Jycn3L59u0SCIiKi4lE+kfCyjpeIKJ/shNfDwwO//fabXvtvv/0Gd3f3EgmKiIiKR1vSALCOl4hIS/bGEyNGjMD48eORl5eHzp07AwCioqIwZcoUTJw4scQDJCKiojM3U0ChAITg0mRERFqyE97JkycjNTUV7777LnJzcwEAVlZWmDp1KkJDQ0s8QCIiKjqFQgFLMzPkqjXIY0kDERGAYiS8CoUC8+fPx4wZM3Dx4kVYW1ujbt26UKlUpREfERHJZGmuQK4aeMQZXiIiAMVIeLVsbGzQqlWrkoyFiIhKgKWFGZCrZg0vEdG/ZN+0RkRE5Zt284ncRyxpICICmPASEZkcS7P8lRo4w0tElI8JLxGRibG04PbCRERPYsJLRGRitCUNXKWBiChfuUh4ly9fDi8vL1hZWcHX1xfHjx8vtP/OnTtRv359WFlZoXHjxvjf//6n87oQAjNnzoSbmxusra3h7++Py5cvl+ZHICIqNx4nvJzhJSICykHCu337doSEhCAsLAyxsbFo2rQpAgICkJKSYrD/0aNHERwcjOHDh+P06dPo168f+vXrhwsXLkh9FixYgC+//BKrVq3CsWPHULlyZQQEBODhw4dl9bGIiIxGu9saE14ionwKIYRR/+bl6+uLVq1aYdmyZQAAjUYDDw8PvPfee5g2bZpe/8DAQGRnZ2PPnj1S23//+1/4+Phg1apVEELA3d0dEydOxKRJkwAA6enpcHFxQXh4OIKCgp4ZU0ZGBuzs7JCeng5bW9sS+qRERGXj/1Yexanr9zHq5dpoVtPe2OEQ0QtEZWmOTvWcy+S95ORrxV6HtyTk5ubi1KlTOju0mZmZwd/fHzExMQaPiYmJQUhIiE5bQEAAIiIiAAAJCQlISkqCv7+/9LqdnR18fX0RExNjMOHNyclBTk6O9DwjI+N5PhYRkVFZWeb/8W71L1eNHAkRvWjc7KwQE/qKscPQY9SE9+7du1Cr1XBxcdFpd3FxwaVLlwwek5SUZLB/UlKS9Lq2raA+T5s3bx5mzZpVrM9ARFTevN2+Nh6pBdQa3rRGRGWrmo3S2CEYZNSEt7wIDQ3VmTXOyMiAh4eHESMiIiq+TvWcy+xPikREFYFRb1pzdHSEubk5kpOTddqTk5Ph6upq8BhXV9dC+2v/V86YKpUKtra2Og8iIiIiMg1GTXiVSiVatGiBqKgoqU2j0SAqKgp+fn4Gj/Hz89PpDwD79++X+teqVQuurq46fTIyMnDs2LECxyQiIiIi02X0koaQkBAMGTIELVu2ROvWrbFkyRJkZ2dj2LBhAIDBgwejevXqmDdvHgBg3Lhx6NChAxYtWoSePXti27ZtOHnyJNasWQMAUCgUGD9+PD7++GPUrVsXtWrVwowZM+Du7o5+/foZ62MSERERkZEYPeENDAzEnTt3MHPmTCQlJcHHxweRkZHSTWeJiYkwM3s8Ed2mTRt88803+PDDDzF9+nTUrVsXERERaNSokdRnypQpyM7OxsiRI5GWloZ27dohMjISVlZWZf75iIiIiMi4jL4Ob3mUnp4Oe3t73Lhxg/W8REREROWQdpGBtLQ02NnZFdrX6DO85VFmZiYAcKUGIiIionIuMzPzmQkvZ3gN0Gg0uHXrFqpUqQKFQmHscJ5J+184nJGWj+eueHjeio/nrvh47oqP5654eN6KryzOnRACmZmZcHd31yl/NYQzvAaYmZmhRo0axg5DNi6pVnw8d8XD81Z8PHfFx3NXfDx3xcPzVnylfe6eNbOrZdRlyYiIiIiIShsTXiIiIiIyaUx4TYBKpUJYWBhUKpWxQ6lweO6Kh+et+Hjuio/nrvh47oqH5634ytu5401rRERERGTSOMNLRERERCaNCS8RERERmTQmvERERERk0pjwEhEREZFJY8JbAV27dg3Dhw9HrVq1YG1tjTp16iAsLAy5ubmFHtexY0coFAqdxzvvvFNGURvP8uXL4eXlBSsrK/j6+uL48eOF9t+5cyfq168PKysrNG7cGP/73//KKNLyYd68eWjVqhWqVKkCZ2dn9OvXD3FxcYUeEx4erndtWVlZlVHE5cdHH32kdx7q169f6DEv+vWm5eXlpXfuFAoFxowZY7D/i3zN/fLLL+jduzfc3d2hUCgQERGh87oQAjNnzoSbmxusra3h7++Py5cvP3Ncud+VFU1h5y0vLw9Tp05F48aNUblyZbi7u2Pw4MG4detWoWMW53e+InrWNTd06FC989CtW7dnjluW1xwT3gro0qVL0Gg0WL16Nf744w98/vnnWLVqFaZPn/7MY0eMGIHbt29LjwULFpRBxMazfft2hISEICwsDLGxsWjatCkCAgKQkpJisP/Ro0cRHByM4cOH4/Tp0+jXrx/69euHCxculHHkxnP48GGMGTMGv//+O/bv34+8vDx07doV2dnZhR5na2urc21dv369jCIuXxo2bKhzHo4cOVJgX15vj504cULnvO3fvx8AMGDAgAKPeVGvuezsbDRt2hTLly83+PqCBQvw5ZdfYtWqVTh27BgqV66MgIAAPHz4sMAx5X5XVkSFnbcHDx4gNjYWM2bMQGxsLHbv3o24uDj06dPnmePK+Z2vqJ51zQFAt27ddM7D1q1bCx2zzK85QSZhwYIFolatWoX26dChgxg3blzZBFROtG7dWowZM0Z6rlarhbu7u5g3b57B/q+//rro2bOnTpuvr68YNWpUqcZZnqWkpAgA4vDhwwX22bBhg7Czsyu7oMqpsLAw0bRp0yL35/VWsHHjxok6deoIjUZj8HVec/kAiO+++056rtFohKurq/jss8+ktrS0NKFSqcTWrVsLHEfud2VF9/R5M+T48eMCgLh+/XqBfeT+zpsCQ+duyJAhom/fvrLGKetrjjO8JiI9PR1Vq1Z9Zr8tW7bA0dERjRo1QmhoKB48eFAG0RlHbm4uTp06BX9/f6nNzMwM/v7+iImJMXhMTEyMTn8ACAgIKLD/iyA9PR0Annl9ZWVlwdPTEx4eHujbty/++OOPsgiv3Ll8+TLc3d1Ru3ZtDBo0CImJiQX25fVmWG5uLjZv3oy33noLCoWiwH685vQlJCQgKSlJ57qys7ODr69vgddVcb4rXwTp6elQKBSwt7cvtJ+c33lTFh0dDWdnZ9SrVw+jR49GampqgX2Ncc0x4TUB8fHxWLp0KUaNGlVov4EDB2Lz5s04dOgQQkNDsWnTJrzxxhtlFGXZu3v3LtRqNVxcXHTaXVxckJSUZPCYpKQkWf1NnUajwfjx49G2bVs0atSowH716tXD+vXr8f3332Pz5s3QaDRo06YNbt68WYbRGp+vry/Cw8MRGRmJlStXIiEhAe3bt0dmZqbB/rzeDIuIiEBaWhqGDh1aYB9ec4Zprx0511VxvitN3cOHDzF16lQEBwfD1ta2wH5yf+dNVbdu3fD1118jKioK8+fPx+HDh9G9e3eo1WqD/Y1xzVmUyqhULNOmTcP8+fML7XPx4kWdgvi///4b3bp1w4ABAzBixIhCjx05cqT0c+PGjeHm5oZXXnkFV65cQZ06dZ4veDJJY8aMwYULF55Zk+bn5wc/Pz/peZs2bfDSSy9h9erVmDNnTmmHWW50795d+rlJkybw9fWFp6cnduzYgeHDhxsxsopl3bp16N69O9zd3Qvsw2uOSkteXh5ef/11CCGwcuXKQvvydz5fUFCQ9HPjxo3RpEkT1KlTB9HR0XjllVeMGNljTHjLkYkTJxY6owEAtWvXln6+desWOnXqhDZt2mDNmjWy38/X1xdA/gyxKSa8jo6OMDc3R3Jysk57cnIyXF1dDR7j6uoqq78pGzt2LPbs2YNffvkFNWrUkHWspaUlmjVrhvj4+FKKrmKwt7fHf/7znwLPA683fdevX8eBAwewe/duWcfxmsunvXaSk5Ph5uYmtScnJ8PHx8fgMcX5rjRV2mT3+vXrOHjwYKGzu4Y863f+RVG7dm04OjoiPj7eYMJrjGuOJQ3liJOTE+rXr1/oQ6lUAsif2e3YsSNatGiBDRs2wMxM/v+VZ86cAQCdL0VTolQq0aJFC0RFRUltGo0GUVFROjNDT/Lz89PpDwD79+8vsL8pEkJg7Nix+O6773Dw4EHUqlVL9hhqtRrnz5832WurqLKysnDlypUCzwOvN30bNmyAs7MzevbsKes4XnP5atWqBVdXV53rKiMjA8eOHSvwuirOd6Up0ia7ly9fxoEDB1CtWjXZYzzrd/5FcfPmTaSmphZ4HoxyzZXKrXBUqm7evCm8vb3FK6+8Im7evClu374tPZ7sU69ePXHs2DEhhBDx8fFi9uzZ4uTJkyIhIUF8//33onbt2uLll1821scoE9u2bRMqlUqEh4eLP//8U4wcOVLY29uLpKQkIYQQb775ppg2bZrU/7fffhMWFhZi4cKF4uLFiyIsLExYWlqK8+fPG+sjlLnRo0cLOzs7ER0drXNtPXjwQOrz9HmbNWuW2Ldvn7hy5Yo4deqUCAoKElZWVuKPP/4wxkcwmokTJ4ro6GiRkJAgfvvtN+Hv7y8cHR1FSkqKEILX27Oo1WpRs2ZNMXXqVL3XeM09lpmZKU6fPi1Onz4tAIjFixeL06dPS6sJfPrpp8Le3l58//334ty5c6Jv376iVq1a4p9//pHG6Ny5s1i6dKn0/FnflaagsPOWm5sr+vTpI2rUqCHOnDmj892Xk5MjjfH0eXvW77ypKOzcZWZmikmTJomYmBiRkJAgDhw4IJo3by7q1q0rHj58KI1h7GuOCW8FtGHDBgHA4EMrISFBABCHDh0SQgiRmJgoXn75ZVG1alWhUqmEt7e3mDx5skhPTzfSpyg7S5cuFTVr1hRKpVK0bt1a/P7779JrHTp0EEOGDNHpv2PHDvGf//xHKJVK0bBhQ7F3794yjti4Crq2NmzYIPV5+ryNHz9eOscuLi6iR48eIjY2tuyDN7LAwEDh5uYmlEqlqF69uggMDBTx8fHS67zeCrdv3z4BQMTFxem9xmvusUOHDhn8HdWeH41GI2bMmCFcXFyESqUSr7zyit459fT0FGFhYTpthX1XmoLCzpv230xDD+2/o0Lon7dn/c6bisLO3YMHD0TXrl2Fk5OTsLS0FJ6enmLEiBF6iauxrzmFEEKUztwxEREREZHxsYaXiIiIiEwaE14iIiIiMmlMeImIiIjIpDHhJSIiIiKTxoSXiIiIiEwaE14iIiIiMmlMeImIiIjIpDHhJSIiIiKTxoSXiKgMdezYEePHjzd2GMXm5eWFJUuWGDsMIiJZmPASEZVj0dHRUCgUSEtLM3YoREQVFhNeIiIiIjJpTHiJiEpJdnY2Bg8eDBsbG7i5uWHRokV6fTZt2oSWLVuiSpUqcHV1xcCBA5GSkgIAuHbtGjp16gQAcHBwgEKhwNChQwEAkZGRaNeuHezt7VGtWjX06tULV65cKTCWNWvWwN3dHRqNRqe9b9++eOuttwAAV65cQd++feHi4gIbGxu0atUKBw4cKHDMa9euQaFQ4MyZM1JbWloaFAoFoqOjpbYLFy6ge/fusLGxgYuLC958803cvXu30HNHRFSSmPASEZWSyZMn4/Dhw/j+++/x888/Izo6GrGxsTp98vLyMGfOHJw9exYRERG4du2alNR6eHhg165dAIC4uDjcvn0bX3zxBYD8ZDokJAQnT55EVFQUzMzM0L9/f72EVmvAgAFITU3FoUOHpLZ79+4hMjISgwYNAgBkZWWhR48eiIqKwunTp9GtWzf07t0biYmJxT4HaWlp6Ny5M5o1a4aTJ08iMjISycnJeP3114s9JhGRbIKIiEpcZmamUCqVYseOHVJbamqqsLa2FuPGjSvwuBMnTggAIjMzUwghxKFDhwQAcf/+/ULf786dOwKAOH/+fIF9+vbtK9566y3p+erVq4W7u7tQq9UFHtOwYUOxdOlS6bmnp6f4/PPPhRBCJCQkCADi9OnT0uv3798XAMShQ4eEEELMmTNHdO3aVWfMGzduCAAiLi6u0M9ERFRSOMNLRFQKrly5gtzcXPj6+kptVatWRb169XT6nTp1Cr1790bNmjVRpUoVdOjQAQCeOat6+fJlBAcHo3bt2rC1tYWXl9czjxs0aBB27dqFnJwcAMCWLVsQFBQEM7P8fwqysrIwadIkvPTSS7C3t4eNjQ0uXrz4XDO8Z8+exaFDh2BjYyM96tevDwCFlmAQEZUkC2MHQET0osrOzkZAQAACAgKwZcsWODk5ITExEQEBAcjNzS302N69e8PT0xNr166VanMbNWpU6HG9e/eGEAJ79+5Fq1at8Ouvv+Lzzz+XXp80aRL279+PhQsXwtvbG9bW1njttdcKHFObKAshpLa8vDydPllZWejduzfmz5+vd7ybm1uhn5GIqKQw4SUiKgV16tSBpaUljh07hpo1awIA7t+/j7/++kuaxb106RJSU1Px6aefwsPDAwBw8uRJnXGUSiUAQK1WS22pqamIi4vD2rVr0b59ewDAkSNHnhmTlZUVXn31VWzZsgXx8fGoV68emjdvLr3+22+/YejQoejfvz+A/GT12rVrBY7n5OQEALh9+zaaNWsGADo3sAFA8+bNsWvXLnh5ecHCgv/kEJFxsKSBiKgU2NjYYPjw4Zg8eTIOHjyICxcuYOjQodKsKADUrFkTSqUSS5cuxdWrV/HDDz9gzpw5OuN4enpCoVBgz549uHPnDrKysuDg4IBq1aphzZo1iI+Px8GDBxESElKkuAYNGoS9e/di/fr10s1qWnXr1sXu3btx5swZnD17FgMHDizwJjgAsLa2xn//+198+umnuHjxIg4fPowPP/xQp8+YMWNw7949BAcH48SJE7hy5Qr27duHYcOG6STxRESliQkvEVEp+eyzz9C+fXv07t0b/v7+aNeuHVq0aCG97uTkhPDwcOzcuRMNGjTAp59+ioULF+qMUb16dcyaNQvTpk2Di4sLxo4dCzMzM2zbtg2nTp1Co0aNMGHCBHz22WdFiqlz586oWrUq4uLiMHDgQJ3XFi9eDAcHB7Rp0wa9e/dGQECAzgywIevXr8ejR4/QokULjB8/Hh9//LHO6+7u7vjtt9+gVqvRtWtXNG7cGOPHj4e9vb1O8k9EVJoU4sniKyIiIiIiE8P/vCYiIiIik8aEl4iIiIhMGhNeIiIiIjJpTHiJiIiIyKQx4SUiIiIik8aEl4iIiIhMGhNeIiIiIjJpTHiJiIiIyKQx4SUiIiIik8aEl4iIiIhMGhNeIiIiIjJp/w8aV888Zip3yAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 800x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "new_data = torch.arange(-3, 15, 0.1)\n",
    "assignment = classifier(new_data)\n",
    "pyplot.figure(figsize=(8, 2), dpi=100).set_facecolor(\"white\")\n",
    "pyplot.plot(new_data.numpy(), assignment.numpy())\n",
    "pyplot.title(\"MAP assignment\")\n",
    "pyplot.xlabel(\"data value\")\n",
    "pyplot.ylabel(\"class assignment\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To generate random posterior assignments rather than MAP assignments, we could set `temperature=1`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([1, 1, 0, 0, 0])\n"
     ]
    }
   ],
   "source": [
    "print(classifier(data, temperature=1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Since the classes are very well separated, we zoom in to the boundary between classes, around 5.75."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "new_data = torch.arange(5.5, 6.0, 0.005)\n",
    "assignment = classifier(new_data, temperature=1)\n",
    "pyplot.figure(figsize=(8, 2), dpi=100).set_facecolor(\"white\")\n",
    "pyplot.plot(new_data.numpy(), assignment.numpy(), \"x\", color=\"C0\")\n",
    "pyplot.title(\"Random posterior assignment\")\n",
    "pyplot.xlabel(\"data value\")\n",
    "pyplot.ylabel(\"class assignment\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Predicting membership by enumerating in the guide\n",
    "\n",
    "A second way to predict class membership is to enumerate in the guide. This doesn't work well for serving classifier models, since we need to run stochastic optimization for each new input data batch, but it is more general in that it can be embedded in larger variational models.\n",
    "\n",
    "To read cluster assignments from the guide, we'll define a new `full_guide` that fits both global parameters (as above) and local parameters (which were previously marginalized out). Since we've already learned good values for the global variables, we will block SVI from updating those by using [poutine.block](http://docs.pyro.ai/en/dev/poutine.html#pyro.poutine.block)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "@config_enumerate\n",
    "def full_guide(data):\n",
    "    # Global variables.\n",
    "    with poutine.block(\n",
    "        hide_types=[\"param\"]\n",
    "    ):  # Keep our learned values of global parameters.\n",
    "        global_guide(data)\n",
    "\n",
    "    # Local variables.\n",
    "    with pyro.plate(\"data\", len(data)):\n",
    "        assignment_probs = pyro.param(\n",
    "            \"assignment_probs\",\n",
    "            torch.ones(len(data), K) / K,\n",
    "            constraint=constraints.simplex,\n",
    "        )\n",
    "        pyro.sample(\"assignment\", dist.Categorical(assignment_probs))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "...................................................................................................\n",
      "..................................................................................................."
     ]
    }
   ],
   "source": [
    "optim = pyro.optim.Adam({\"lr\": 0.2, \"betas\": [0.8, 0.99]})\n",
    "elbo = TraceEnum_ELBO(max_plate_nesting=1)\n",
    "svi = SVI(model, full_guide, optim, loss=elbo)\n",
    "\n",
    "# Register hooks to monitor gradient norms.\n",
    "gradient_norms = defaultdict(list)\n",
    "svi.loss(model, full_guide, data)  # Initializes param store.\n",
    "for name, value in pyro.get_param_store().named_parameters():\n",
    "    value.register_hook(\n",
    "        lambda g, name=name: gradient_norms[name].append(g.norm().item())\n",
    "    )\n",
    "\n",
    "losses = []\n",
    "for i in range(200 if not smoke_test else 2):\n",
    "    loss = svi.step(data)\n",
    "    losses.append(loss)\n",
    "    print(\".\" if i % 100 else \"\\n\", end=\"\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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EALRxTCwBAAgoHTt21KBBg/S///u/OnjwoCIiInTppZfqiSeeIEABAFoFI1EAAAAA0Ag8EwUAAAAAjUCIAgAAAIBGaNfPRLndbu3du1dRUVGyLMvucgAAAADYxBij4uJipaSk1Pmy+BO16xC1d+9epaWl2V0GAAAAAD+xa9cupaamnrJPuw5RUVFRkqpPVHR0tM3VAAAAALBLUVGR0tLSvBnhVNp1iPLcwhcdHU2IAgAAANCgx3yYWAIAAAAAGoEQBQAAAACNQIgCAAAAgEYgRAEAAABAIxCiAAAAAKARCFF+xhhjdwkAAAAAToEQ5SeeX7pNF/5lsf65YofdpQAAAAA4BUKUnzhaXqX/HCrRl9vy7S4FAAAAwCkQovxETkacJGnl9nxu6QMAAAD8GCHKTwxIi1VIkKX9ReXalV9qdzkAAAAAToIQ5SfCQ4OU3SVGUvVoFAAAAAD/RIjyI+fWuqUPAAAAgH8iRPkRz3NRXxGiAAAAAL9FiPIjgzM6SpL+c7BEh46W21wNAAAAgPoQovxIbIdQ9UqMkiStYjQKAAAA8EuEKD/jGY36atsRmysBAAAAUJ92GaJyc3OVlZWlnJwcu0up49xu1c9FrdrBSBQAAADgj9pliJo6dao2btyolStX2l1KHZ7JJb7dW6SS8iqbqwEAAABwonYZovxZSmy4usSGy+U2WrOTW/oAAAAAf0OI8kOeW/pWbuOWPgAAAMDfEKL8EN8XBQAAAPgvQpQfyqmZoW/drgJVVLltrgYAAABAbYQoP9QzIVKxHUJUVunWprxiu8sBAAAAUAshyg9ZlqW+XWIkSet3F9hbDAAAAAAfhCg/1T81VpL0NSEKAAAA8CuEKD/VN7V6JOrr3YU2VwIAAACgNkKUn/KMRP2wv1ilFS57iwEAAADgRYjyU0kxYUqIcsptpG/3MhoFAAAA+AtClB/rVzMatZ5b+gAAAAC/QYjyY/28z0UV2FsIAAAAAC9ClB/zhKgNjEQBAAAAfoMQ5cc8t/P951CJCksr7S0GAAAAgCRClF+LiwhVWly4JOmbPYxGAQAAAP6AEOXnjk8uUWBrHQAAAACqEaL8XL8uNZNL7GIkCgAAAPAHhCg/5xmJ2sDtfAAAAIBfIET5ub6pMbIsaU9BqQ4dLbe7HAAAAKDdI0T5uUhnsHrER0ri+6IAAAAAf0CICgCe74taz3NRAAAAgO0IUQHAM7kE05wDAAAA9iNEBYA+NSFq474imysBAAAAQIgKAJlJUZKkfYVlyi+psLkaAAAAoH0jRAWAqLAQpXfqIEn6jtEoAAAAwFaEqADRJyVakvTtXp6LAgAAAOxEiAoQWcnVIWrjXkaiAAAAADu1yxCVm5urrKws5eTk2F1Kg2XVjEQxuQQAAABgr3YZoqZOnaqNGzdq5cqVdpfSYH1Sqmfo23qwRGWVLpurAQAAANqvdhmiAlFClFOdIkLlchttyiu2uxwAAACg3SJEBQjLsrilDwAAAPADhKgA4g1RTC4BAAAA2IYQFUA8M/QxzTkAAABgH0JUAPF8V9T3ecVyuY3N1QAAAADtEyEqgHTrHKmwEIeOVbi043CJ3eUAAAAA7RIhKoAEOSxlJnlu6eO5KAAAAMAOhKgAwwx9AAAAgL0IUQHGM7kEM/QBAAAA9iBEBRjP5BLczgcAAADYgxAVYDKTouWwpENHy3WgqMzucgAAAIB2hxAVYMJDg9Stc4QknosCAAAA7ECICkC9a56L+m5fsc2VAAAAAO0PISoAHQ9RjEQBAAAArY0QFYCyCFEAAACAbQhRAcjzXVFbDx5VWaXL5moAAACA9oUQFYASopyKiwiV20g/7Oe5KAAAAKA1EaICkGVZ6p0cJYlb+gAAAIDWRogKUL2TmKEPAAAAsAMhKkB5Zujju6IAAACA1kWIClCeySW+21ckY4zN1QAAAADtByEqQPWIj1RIkKXisirtPlJqdzkAAABAu0GIClChwQ71TGByCQAAAKC1EaIC2PEZ+phcAgAAAGgthKgAlpV8/LkoAAAAAK2DEBXAspihDwAAAGh1hKgA5pnmfGf+MRWXVdpcDQAAANA+EKICWMeIUCVFh0mSNuXxXBQAAADQGghRAe745BLc0gcAAAC0BkJUgOvtfS6KkSgAAACgNRCiAlxvJpcAAAAAWhUhKsBlpVSHqE15RXK5jc3VAAAAAG0fISrAZXSKUFiIQ2WVbm0/XGJ3OQAAAECbR4gKcEEOS72S+NJdAAAAoLUQotqALGboAwAAAFoNIaoN8E4usZcQBQAAALQ0QlQbkJXsuZ2Pac4BAACAlkaIagMya0JUXlGZjpRU2FwNAAAA0LYRotqASGewusZ1kMRzUQAAAEBLI0S1Eb1rJpfgS3cBAACAlkWIaiO8k0sQogAAAIAWFfAhateuXRoxYoSysrLUr18/zZs3z+6SbNGbySUAAACAVhFsdwFnKjg4WE8//bQGDBigvLw8DRo0SJdccokiIiLsLq1VeWbo23KgWBVVboUGB3w+BgAAAPxSwH/STk5O1oABAyRJSUlJ6ty5s/Lz8+0tygapHcMVFRasSpfR1oNH7S4HAAAAaLNsD1GfffaZfvrTnyolJUWWZemtt96q0yc3N1cZGRkKCwvTkCFD9NVXX9W7rdWrV8vlciktLa2Fq/Y/lmWpd5Lnlj6eiwIAAABaiu0hqqSkRP3791dubm69y+fOnatp06Zp+vTpWrNmjfr3768xY8bowIEDPv3y8/M1ceJEzZkzpzXK9kveGfr2EqIAAACAlmL7M1EXX3yxLr744pMunzlzpqZMmaIbb7xRkjR79my9++67ev755/Xb3/5WklReXq4rrrhCv/3tb3XeeeeddFvl5eUqLy/3vi8qalthwzu5RF7bOi4AAADAn9g+EnUqFRUVWr16tUaNGuVtczgcGjVqlJYvXy5JMsZo8uTJuvDCC/WLX/zilNubMWOGYmJivD9t7ba/rJTjM/QZY2yuBgAAAGib/DpEHTp0SC6XS4mJiT7tiYmJysvLkyR98cUXmjt3rt566y0NGDBAAwYM0IYNG+rd3oMPPqjCwkLvz65du1r8GFrT2YlRclhSfkmFDhSXn34FAAAAAI1m++18Z+rHP/6x3G53g/o6nU45nc4Wrsg+YSFB6h4fqS0HjurbvYVKjA6zuyQAAACgzfHrkajOnTsrKChI+/fv92nfv3+/kpKSbKrKv/XtEiNJ+mYPz0UBAAAALcGvQ1RoaKgGDRqkTz75xNvmdrv1ySefaOjQoTZW5r+ya0LU17sLba4EAAAAaJtsv53v6NGj2rJli/f9tm3btG7dOsXFxalr166aNm2aJk2apMGDB+vcc8/V008/rZKSEu9sffB1fCSKEAUAAAC0BNtD1KpVq3TBBRd430+bNk2SNGnSJL344osaP368Dh48qIcfflh5eXkaMGCAPvjggzqTTaBan5RoWZaUV1Smg8Xlio9qu8+AAQAAAHawTDueC7uoqEgxMTEqLCxUdHS03eU0m5H/vVhbD5bohck5uiAzwe5yAAAAAL/XmGzg189EtZTc3FxlZWUpJyfH7lJaRL/UWEnSBm7pAwAAAJpdk0LUSy+9pHfffdf7/v7771dsbKzOO+887dixo9mKaylTp07Vxo0btXLlSrtLaRFMLgEAAAC0nCaFqMcff1zh4eGSpOXLlys3N1dPPvmkOnfurHvuuadZC0TjMbkEAAAA0HKaNLHErl271LNnT0nSW2+9pauuukq33nqrhg0bphEjRjRnfWgCJpcAAAAAWk6TRqIiIyN1+PBhSdJHH32kiy66SJIUFham0tLS5qsOTRLhDFb3zhGSGI0CAAAAmluTQtRFF12kW265Rbfccot++OEHXXLJJZKkb7/9VhkZGc1ZH5qIySUAAACAltGkEJWbm6uhQ4fq4MGDmj9/vjp16iRJWr16ta6//vpmLRBNw+QSAAAAQMto0jNRsbGxeu655+q0P/LII2dcEJoHk0sAAAAALaNJI1EffPCBli5d6n2fm5urAQMG6Oc//7mOHDnSbMW1lLb+PVFS3cklAAAAADSPJoWo++67T0VFRZKkDRs26N5779Ull1yibdu2adq0ac1aYEto698TJTG5BAAAANBSmhSitm3bpqysLEnS/Pnzddlll+nxxx9Xbm6u3n///WYtEE3H5BIAAABA82tSiAoNDdWxY8ckSQsXLtTo0aMlSXFxcd4RKtiPySUAAACA5tekiSV+/OMfa9q0aRo2bJi++uorzZ07V5L0ww8/KDU1tVkLRNP1S60OUet3F8gYI8uybK4IAAAACHxNGol67rnnFBwcrNdff12zZs1Sly5dJEnvv/++xo4d26wFoun6dolRsMPSweJy7T7ClyADAAAAzaFJI1Fdu3bVggUL6rQ/9dRTZ1wQmk9YSJD6dInR+l0FWrPziNLiOthdEgAAABDwmhSiJMnlcumtt97Sd999J0nq06ePxo0bp6CgoGYrDmduYNfY6hC144guH9DF7nIAAACAgNekELVlyxZdcskl2rNnj3r16iVJmjFjhtLS0vTuu++qR48ezVokmm5g14564YvtWr3T/7+/CwAAAAgETXom6q677lKPHj20a9curVmzRmvWrNHOnTvVrVs33XXXXc1dY7NrD1+26zEovaMk6bt9xTpWUWVzNQAAAEDgs4wxprErRUREaMWKFerbt69P+/r16zVs2DAdPXq02QpsSUVFRYqJiVFhYaGio6PtLqfF/OjxT5RXVKZXp/xIQ3t0srscAAAAwO80Jhs0aSTK6XSquLi4TvvRo0cVGhralE2iBXlGo9ZwSx8AAABwxpoUoi677DLdeuut+vLLL2WMkTFGK1as0O23365x48Y1d404Q+d0jZUkrdlBiAIAAADOVJNC1LPPPqsePXpo6NChCgsLU1hYmM477zz17NlTTz/9dDOXiDNVeySqCXdvAgAAAKilSbPzxcbG6u2339aWLVu8U5z37t1bPXv2bNbi0Dz6pMQoNNihI8cqte1QibrHR9pdEgAAABCwGhyipk2bdsrlixYt8r6eOXNm0ytCswsNdqhflxit2nFEa3YWEKIAAACAM9DgELV27doG9bMsq8nFoOUMTO+oVTuOaPWOI7p6UKrd5QAAAAABq8EhqvZIEwLPwJrJJdYyQx8AAABwRpo0sQQCz8Cu1ZNLbNpfrKKySpurAQAAAAIXIaqdSIgOU2rHcBkjrdtZYHc5AAAAQMBqlyEqNzdXWVlZysnJsbuUVnVuRpwkacV/DttcCQAAABC42mWImjp1qjZu3KiVK1faXUqrGtqjkyTpi62EKAAAAKCp2mWIaq+G9ewsSdqwu0CFpTwXBQAAADQFIaodSYkNV7fOEXIb6att+XaXAwAAAAQkQlQ7c57nlr4th2yuBAAAAAhMhKh25rwe1bf0LdtKiAIAAACaghDVzngml/hh/1EdLC63uRoAAAAg8BCi2pm4iFBlJUdLYjQKAAAAaApCVDs0rGf1aNSyLUx1DgAAADQWIaod8jwX9QUjUQAAAECjEaLaoXO7xSnYYWn3kVLtyj9mdzkAAABAQCFEtUMRzmANSIuVxFTnAAAAQGMRotqp83p6bunjuSgAAACgMdpliMrNzVVWVpZycnLsLsU2w2p96a7LbWyuBgAAAAgc7TJETZ06VRs3btTKlSvtLsU2A9M7KiY8RPklFVq944jd5QAAAAABo12GKEghQQ5dmJkgSfp4Y57N1QAAAACBgxDVjo3OSpQkfbRxv4zhlj4AAACgIQhR7dhPzo5XaLBDOw4f0w/7j9pdDgAAABAQCFHtWIQzWOfXzNLHLX0AAABAwxCi2rmLat3SBwAAAOD0CFHt3MjeibIs6evdhdpbUGp3OQAAAIDfI0S1c/FRTg3q2lGStPA7RqMAAACA0yFEQaP7VN/S9zG39AEAAACnRYiCLspKkiQt33pYhaWVNlcDAAAA+DdCFNStc4TOSohUldvo0+8ZjQIAAABOhRAFSdIlfZMlSW+s2WNzJQAAAIB/I0RBknT1oFRJ0tIth7SHWfoAAACAkyJEQZKUFtdBQ7t3kjHS/NW77S4HAAAA8FuEKHhdM7h6NOr11bvldhubqwEAAAD8U7sMUbm5ucrKylJOTo7dpfiVi7OTFekM1s78Y/pqe77d5QAAAAB+qV2GqKlTp2rjxo1auXKl3aX4lfDQIF3Wr3qCiXmruKUPAAAAqE+7DFE4Oc8tfe9t2Kej5VU2VwMAAAD4H0IUfAzs2lHd4yNUWunSe1/vs7scAAAAwO8QouDDsizvdOevrdplczUAAACA/yFEoY6rBqYq2GFp1Y4j2rC70O5yAAAAAL9CiEIdidFhGtc/RZI0e8lWm6sBAAAA/AshCvW6bXgPSdJ73+zTtkMlNlcDAAAA+A9CFOrVKylKIzMTZIw057P/2F0OAAAA4DcIUTipX46oHo2av3q3DhSV2VwNAAAA4B8IUTipwRlxGpzeURUut57/Yrvd5QAAAAB+gRCFU/KMRr2yYoeKyiptrgYAAACwHyEKp3RBrwSdnRip4vIqvbB0u93lAAAAALYjROGUHA5Ld408S1L1dOf7CkttrggAAACwFyEKp3Vp32TlZHRUaaVLf3r/e7vLAQAAAGxFiMJpWZal6T/tI8uS3lq3V6t35NtdEgAAAGAbQhQaJLtLjMYPTpMkPfJ/G+V2G5srAgAAAOxBiEKD3Tu6l6Kcwfp6d6Hmr9ltdzkAAACALQhRaLD4KKfuHNlTkvSnDzYpv6TC5ooAAACA1keIQqNMPq+beiZE6tDRct3/+tcyhtv6AAAA0L4QotAoocEOPXPdAIUGObTwu/165cuddpcEAAAAtKp2GaJyc3OVlZWlnJwcu0sJSH1SYvTAxZmSpMcWbNTm/cU2VwQAAAC0Hsu04/uxioqKFBMTo8LCQkVHR9tdTkBxu40mv7hSn/1wUJlJUXpr6jCFhQTZXRYAAADQJI3JBu1yJApnzuGw9Jdr+qlTRKi+zyvWw29/w/NRAAAAaBcIUWiyhKgw/fe1/eWwpNdW7dYzn2y2uyQAAACgxRGicEZG9ErQo5dnS5KeXrhZc1cy0QQAAADaNkIUztgNP0rX1At6SJJ+9+Y3WvT9AZsrAgAAAFoOIQrN4jeje+lnA7vI5Tb61StrtHgTQQoAAABtEyEKzcKyLD3xs366oFe8SitduuWlVXp73R67ywIAAACaHSEKzSY02KG//WKwxvVPUZXb6O656/TSsu12lwUAAAA0K0IUmlVosENPjx+gSUPTZYw0/Z1v9V8LNqrS5ba7NAAAAKBZEKLQ7BwOS38Y10f3jDpbkvS/S7dp/N+Wa09Bqc2VAQAAAGeOEIUWYVmWfj3qLM2+YZCiwoK1ZmeBLnnmcy3cuN/u0gAAAIAzQohCixqbnaT37jpf/VNjVFhaqVv+sUq//vdaHSgus7s0AAAAoEkIUWhxaXEdNO/283TLj7vJsqS31+3VyP9eopdX7JDLbewuDwAAAGgUyxjTbj/FFhUVKSYmRoWFhYqOjra7nHbh690F+n9vfqMNewolSZlJUZp20dm6KCtRlmXZXB0AAADaq8ZkA0IUIarVudxG/1yxQ3/5cJOKy6skSf1SY3TPRWdrxNnxhCkAAAC0OkJUAxGi7FVwrEJzPvuPXly2XccqXJKksxIiNXlYhq48p4s6hAbbXCEAAADaC0JUAxGi/MOho+X625Kt+teXO1VSE6aiw4L1s4Gp+tnALurbJYbRKQAAALQoQlQDEaL8S1FZpV5ftVsvLd+uHYePedt7JkTqynO6aGx2knrER9pYIQAAANoqQlQDEaL8k9tttGTzQb2xZo8++jZP5VVu77Ie8RG6KCtJI3snaEBarEKCmGASAAAAZ44Q1UCEKP9XVFapDzbkacGGfVq+9ZAqXccv10hnsH7UPU7DenbW4PQ4ZSZHEaoAAADQJISoBiJEBZaiskot3nRQH2/cr6WbD+rIsUqf5c5gh/qlxuicrh11TlqsBqZ3VGJ0mE3VAgAAIJAQohqIEBW43G6jjfuK9PnmQ1rxn8Nau/OIisqq6vRLjglT7+RonZ0YpV5JkTo7MUo94iMVFhJkQ9UAAADwV4SoBiJEtR1ut9G2wyVau7NAa3ce0dqdBfo+r0jueq5uhyVldI5Qr8QodescoYxOEeraqYMyOkUoIcoph4OZAAEAANobQlQDEaLatpLyKn27t0ib9hfrh7xibdpfrE15xSosrTzpOmEhDqXHVYeqLrHhSo4JU3JsuFJqfidEOXnuCgAAoA0iRDUQIar9McboYHG5N1DtOHxMO/KPacfhEu0+UipXfUNXtTgsKT7KqeSYmoBV87tzVKg6Rzq9P3ERoQpiRAsAACBgEKIaiBCF2ipdbu05UuoNVXsLyrSvsFT7Csq0r6hUeYVlPrMDnorDkuIinOocGar4KE+4ClVchFMdO4QotkOoOnYIUceIUMV2CFHHDqGMcAEAANioMdkguJVqAvxeSJBDGZ0jlNE5QlJ8neVut9GhknLlFZYdD1iFZcorLNOho+U1PxU6cqxCbiNv2/d5xQ3af6Qz2BuoPL89gSu2Q4iiw0IUFRas6PCa32HVbZFhwYx6AQAAtCJCFNBADoelhKgwJUSFqV/qyftVudzKL6nQwZpQdbC4JmAVlyv/WIUKjlXqSK3fhaWVMkY6Wl6lo+VV2n2ktNG1RTqDvcHqxKBV+32ks/qnQ2j17whnkCKcwYpwBqtDSBCTagAAADRAuwxRubm5ys3NlcvlsrsUtEHBQQ4lRIcpoYHfUeVyGxWVVgeqI8cqVeDzu/p1YWmlisuqVFRaqeKyShWVVam4rFJllW5JxwPYvsKyM6o9IjRIHZzHA9bxsBWsyJr3tV9XB7IghYcGqUNokMJCghQeUvM+JFhhoQ6FBjlkWYQzAADQdvBMFM9EIYBVVLl9QlVRaZWKyiq9rz3Limrel5RXqaSi5ne5y/v+NPNpnJEgh6XwkJqAFeqoCVdBCg9xKDykOox5l3leh1Qv7xBa3Tcs2CFnyPHfzmCHwmp+134dzHNlAACgiXgmCmgnQoMd6hTpVKdIZ5O3YYxRWaVbR8urdKyiekSrpNxVK2zVDlyu420V1e3HKqp0rMKlskqXSitd3teeSThcbuMdKWtpQQ7rpEHL6X0dpLCQ6t/OEIfCan779g9SSJCl0ODqkbTQYIdCav12Bp/YZskZFKSQYEuhQQ4FOSxG3wAAaMMIUUA7Z1mWwmtuyZOaHsZOVOlyq7TSpbKK4+HK897zurTSpdKKk/yueX2sokrlVW6VV7pVVuVSeaW75r1L5VVuVbjc3n263KY66FXYe6uuZckbvuoLYdXtx0NayGn6hjgsBQdVh7Vgn9cOBQdZCglyKNhhKSTYoRBvWz3Lg6rfBztq1q/VzuQkAAA0HCEKQIsIqQkH0WEhLboft9tUh6qq6lBVVhOufEOXS2WVjetT6XKrotbvCpdRRVX1CFtFTXirrHKrvGZ5bcaopib3Sar2P5YlhdQKV/WFsPqCXJCjelmQw/L57fC+r7s8qPayoJo2q6Y9yHd5kEMn3Ub1e8dJtl2zrKZeh1XTHuS73GGJUUMAQKMRogAENIej9kiaPYwxqnKbWoHLE8BqApdPW63fdfrXDmzH31e5q7dV5XKr0l39u8plvK8rXTXL3TXtLreq3MbndWXNOp5t1T0GVdfhkqT2NemOw6q+FdRhHQ90Vk1b7XaHZcnhkIKs6pDosCzv66CadqvWNhyO49utvY0gh2q2dTw8Vvep6e9Z35JvH0dNn1rrOk7Ypqdmy/KspxPqP75ty7OPmlot63gdjppz4KjV5tO/9nLP8VhN2EatdU/WHwD8ESEKAM6QZVXfPhcS5FCHULurOT1jjFxu4xOuKmsFtPoC2YkhrKpWH1et7blq+rvcNe0u431f/dstl1tyud0ntB//qXK767SfuI0ql5Hb1Gp3HV/uNtXHceJ6J+M2kttlJLXbeZb8Wr3BrXbocpw66FmnXL92/7rry6rev6WaoCnPNi1ZOr5tz+s67T5tNfuoeW1Zx7dXex86oc2zLdWzv+M11q1H3v3V2t5J9nvS2mvVWv9xes6b73ZO3K9Udxue2i35Buia7se353O+qtetfiXf5fKtw8O3Nt/ltbdX37Zqlhx/bZ18+cnqrr0fq+aAT7XcZ1+nOk7+gcF2hCgAaGcsq/q2ueAgKSzEvhG81ub2CVXHQ5bbfTwIut2Sy1QHsRPb3ab6vbtWSDRG3teedrep6VsT6Lxttbd3svaaNlet/bu9/Y9vt3rfnpDpuz/3adrdbsnoeJ1uUx2sq4+5us14l9V+XXfZ8XXlPWe1+3v2Y05Yv1H/3WrWI+QCdfkGQqtuYKvVr04w9axYe/16w+SJYa7+sOjtc4owqXq27+n78s1DFB/VfM9mtzRCFACgXXA4LIV6J9BoP+HR35jGBrMT+7sb2b8mcHrWPVX/+uqqHQQ976v71bSp9rJa63mX1d6W73aqt3F8m566ai9XzXbcJ+xDpm6bJ6DWrV2SfAP0ifut3kbdY6q/9lMck7t27Secv5p9nHhMnuWqb7vybKfWe51Yf61rq77lOn4OPO9r9699DnSy5bXX9exPdWtt7D8SnCnvsdd+c7wloLha8vtWWgAhCgAAtBrv7WGyTt8ZCFCeUFhfyPKEr+N96w9knmU6yXJTK8wdD5onBD5Pf1P/vlRne77B01OJJ6zWrr3O8pNsq/qVb1j1rlurjo4RLTsRVXMjRAEAAADNyHsLm/ffCvhHg7bGYXcBAAAAABBICFEAAAAA0AiEKAAAAABoBEIUAAAAADQCIQoAAAAAGoEQBQAAAACNQIgCAAAAgEZo198T5fkitKKiIpsrAQAAAGAnTyYwtb8N+STadYgqLi6WJKWlpdlcCQAAAAB/UFxcrJiYmFP2sUxDolYb5Xa7tXfvXkVFRXm/WdpORUVFSktL065duxQdHW13OW0O57flcY5bFue35XGOWxbnt+VxjlsW57fl2XmOjTEqLi5WSkqKHI5TP/XUrkeiHA6HUlNT7S6jjujoaP6H2YI4vy2Pc9yyOL8tj3Pcsji/LY9z3LI4vy3PrnN8uhEoDyaWAAAAAIBGIEQBAAAAQCMQovyI0+nU9OnT5XQ67S6lTeL8tjzOccvi/LY8znHL4vy2PM5xy+L8trxAOcftemIJAAAAAGgsRqIAAAAAoBEIUQAAAADQCIQoAAAAAGgEQhQAAAAANAIhyk/k5uYqIyNDYWFhGjJkiL766iu7SwpIM2bMUE5OjqKiopSQkKArrrhCmzZt8ukzYsQIWZbl83P77bfbVHHg+cMf/lDn/GVmZnqXl5WVaerUqerUqZMiIyN11VVXaf/+/TZWHFgyMjLqnF/LsjR16lRJXL9N8dlnn+mnP/2pUlJSZFmW3nrrLZ/lxhg9/PDDSk5OVnh4uEaNGqXNmzf79MnPz9eECRMUHR2t2NhY3XzzzTp69GgrHoX/OtX5rays1AMPPKC+ffsqIiJCKSkpmjhxovbu3euzjfqu+yeeeKKVj8R/ne4anjx5cp3zN3bsWJ8+XMMnd7rzW9/fZMuy9Oc//9nbh2v45Bry2awhnx127typSy+9VB06dFBCQoLuu+8+VVVVteah+CBE+YG5c+dq2rRpmj59utasWaP+/ftrzJgxOnDggN2lBZwlS5Zo6tSpWrFihT7++GNVVlZq9OjRKikp8ek3ZcoU7du3z/vz5JNP2lRxYOrTp4/P+Vu6dKl32T333KP/+7//07x587RkyRLt3btXP/vZz2ysNrCsXLnS59x+/PHHkqRrrrnG24frt3FKSkrUv39/5ebm1rv8ySef1LPPPqvZs2fryy+/VEREhMaMGaOysjJvnwkTJujbb7/Vxx9/rAULFuizzz7Trbfe2lqH4NdOdX6PHTumNWvW6KGHHtKaNWv0xhtvaNOmTRo3blydvo8++qjPdX3nnXe2RvkB4XTXsCSNHTvW5/y9+uqrPsu5hk/udOe39nndt2+fnn/+eVmWpauuusqnH9dw/Rry2ex0nx1cLpcuvfRSVVRUaNmyZXrppZf04osv6uGHH7bjkKoZ2O7cc881U6dO9b53uVwmJSXFzJgxw8aq2oYDBw4YSWbJkiXetuHDh5tf//rX9hUV4KZPn2769+9f77KCggITEhJi5s2b52377rvvjCSzfPnyVqqwbfn1r39tevToYdxutzGG6/dMSTJvvvmm973b7TZJSUnmz3/+s7etoKDAOJ1O8+qrrxpjjNm4caORZFauXOnt8/777xvLssyePXtarfZAcOL5rc9XX31lJJkdO3Z429LT081TTz3VssW1EfWd40mTJpnLL7/8pOtwDTdcQ67hyy+/3Fx44YU+bVzDDXfiZ7OGfHZ47733jMPhMHl5ed4+s2bNMtHR0aa8vLx1D6AGI1E2q6io0OrVqzVq1Chvm8Ph0KhRo7R8+XIbK2sbCgsLJUlxcXE+7a+88oo6d+6s7OxsPfjggzp27Jgd5QWszZs3KyUlRd27d9eECRO0c+dOSdLq1atVWVnpcz1nZmaqa9euXM9NUFFRoX/+85+66aabZFmWt53rt/ls27ZNeXl5PtdsTEyMhgwZ4r1mly9frtjYWA0ePNjbZ9SoUXI4HPryyy9bveZAV1hYKMuyFBsb69P+xBNPqFOnTjrnnHP05z//2dbbdALR4sWLlZCQoF69eumXv/ylDh8+7F3GNdx89u/fr3fffVc333xznWVcww1z4mezhnx2WL58ufr27avExERvnzFjxqioqEjffvttK1Z/XLAte4XXoUOH5HK5fC4KSUpMTNT3339vU1Vtg9vt1t13361hw4YpOzvb2/7zn/9c6enpSklJ0ddff60HHnhAmzZt0htvvGFjtYFjyJAhevHFF9WrVy/t27dPjzzyiM4//3x98803ysvLU2hoaJ0PR4mJicrLy7On4AD21ltvqaCgQJMnT/a2cf02L891Wd/fYM+yvLw8JSQk+CwPDg5WXFwc13UjlZWV6YEHHtD111+v6Ohob/tdd92lgQMHKi4uTsuWLdODDz6offv2aebMmTZWGzjGjh2rn/3sZ+rWrZu2bt2q3/3ud7r44ou1fPlyBQUFcQ03o5deeklRUVF1blPnGm6Y+j6bNeSzQ15eXr1/pz3L7ECIQps1depUffPNNz7P60jyuQe8b9++Sk5O1siRI7V161b16NGjtcsMOBdffLH3db9+/TRkyBClp6frtddeU3h4uI2VtT1///vfdfHFFyslJcXbxvWLQFVZWalrr71WxhjNmjXLZ9m0adO8r/v166fQ0FDddtttmjFjhpxOZ2uXGnCuu+467+u+ffuqX79+6tGjhxYvXqyRI0faWFnb8/zzz2vChAkKCwvzaecabpiTfTYLRNzOZ7POnTsrKCiozgwk+/fvV1JSkk1VBb477rhDCxYs0KJFi5SamnrKvkOGDJEkbdmypTVKa3NiY2N19tlna8uWLUpKSlJFRYUKCgp8+nA9N96OHTu0cOFC3XLLLafsx/V7ZjzX5an+BiclJdWZ6Keqqkr5+flc1w3kCVA7duzQxx9/7DMKVZ8hQ4aoqqpK27dvb50C25ju3burc+fO3r8LXMPN4/PPP9emTZtO+3dZ4hquz8k+mzXks0NSUlK9f6c9y+xAiLJZaGioBg0apE8++cTb5na79cknn2jo0KE2VhaYjDG644479Oabb+rTTz9Vt27dTrvOunXrJEnJycktXF3bdPToUW3dulXJyckaNGiQQkJCfK7nTZs2aefOnVzPjfTCCy8oISFBl1566Sn7cf2emW7duikpKcnnmi0qKtKXX37pvWaHDh2qgoICrV692tvn008/ldvt9oZYnJwnQG3evFkLFy5Up06dTrvOunXr5HA46tyChobZvXu3Dh8+7P27wDXcPP7+979r0KBB6t+//2n7cg0fd7rPZg357DB06FBt2LDB5x8DPP8gk5WV1ToHciJbprOAj3//+9/G6XSaF1980WzcuNHceuutJjY21mcGEjTML3/5SxMTE2MWL15s9u3b5/05duyYMcaYLVu2mEcffdSsWrXKbNu2zbz99tume/fu5ic/+YnNlQeOe++91yxevNhs27bNfPHFF2bUqFGmc+fO5sCBA8YYY26//XbTtWtX8+mnn5pVq1aZoUOHmqFDh9pcdWBxuVyma9eu5oEHHvBp5/ptmuLiYrN27Vqzdu1aI8nMnDnTrF271js73BNPPGFiY2PN22+/bb7++mtz+eWXm27dupnS0lLvNsaOHWvOOecc8+WXX5qlS5eas846y1x//fV2HZJfOdX5raioMOPGjTOpqalm3bp1Pn+XPTNqLVu2zDz11FNm3bp1ZuvWreaf//yniY+PNxMnTrT5yPzHqc5xcXGx+c1vfmOWL19utm3bZhYuXGgGDhxozjrrLFNWVubdBtfwyZ3ub4QxxhQWFpoOHTqYWbNm1Vmfa/jUTvfZzJjTf3aoqqoy2dnZZvTo0WbdunXmgw8+MPHx8ebBBx+045CMMcYQovzEX//6V9O1a1cTGhpqzj33XLNixQq7SwpIkur9eeGFF4wxxuzcudP85Cc/MXFxccbpdJqePXua++67zxQWFtpbeAAZP368SU5ONqGhoaZLly5m/PjxZsuWLd7lpaWl5le/+pXp2LGj6dChg7nyyivNvn37bKw48Hz44YdGktm0aZNPO9dv0yxatKjevwuTJk0yxlRPc/7QQw+ZxMRE43Q6zciRI+uc+8OHD5vrr7/eREZGmujoaHPjjTea4uJiG47G/5zq/G7btu2kf5cXLVpkjDFm9erVZsiQISYmJsaEhYWZ3r17m8cff9wnALR3pzrHx44dM6NHjzbx8fEmJCTEpKenmylTptT5h1iu4ZM73d8IY4z529/+ZsLDw01BQUGd9bmGT+10n82Madhnh+3bt5uLL77YhIeHm86dO5t7773XVFZWtvLRHGcZY0wLDXIBAAAAQJvDM1EAAAAA0AiEKAAAAABoBEIUAAAAADQCIQoAAAAAGoEQBQAAAACNQIgCAAAAgEYgRAEAAABAIxCiAAAAAKARCFEAgDZlxIgRuvvuu+0uAwDQhlnGGGN3EQAANJf8/HyFhIQoKipKGRkZuvvuuwlVAIBmFWx3AQAANKe4uLhm32ZFRYVCQ0ObfbsAgMDE7XwAgDbFczvfiBEjtGPHDt1zzz2yLEuWZXn7LF26VOeff77Cw8OVlpamu+66SyUlJd7lGRkZeuyxxzRx4kRFR0fr1ltvVUVFhe644w4lJycrLCxM6enpmjFjhh2HCACwGSEKANAmvfHGG0pNTdWjjz6qffv2ad++fZKkrVu3auzYsbrqqqv09ddfa+7cuVq6dKnuuOMOn/X/8pe/qH///lq7dq0eeughPfvss3rnnXf02muvadOmTXrllVeUkZFhw5EBAOzG7XwAgDYpLi5OQUFBioqKUlJSkrd9xowZmjBhgvc5qbPOOkvPPvushg8frlmzZiksLEySdOGFF+ree+/1rrdz506dddZZ+vGPfyzLspSent6qxwMA8B+MRAEA2pX169frxRdfVGRkpPdnzJgxcrvd2rZtm7ff4MGDfdabPHmy1q1bp169eumuu+7SRx991NqlAwD8BCNRAIB25ejRo7rtttt011131VnWtWtX7+uIiAifZQMHDtS2bdv0/vvva+HChbr22ms1atQovf766y1eMwDAvxCiAABtVmhoqFwul0/bwIEDtXHjRvXs2bPR24uOjtb48eM1fvx4XX311Ro7dqzy8/NbZEZAAID/4nY+AECblZGRoc8++0x79uzRoUOHJEkPPPCAli1bpjvuuEPr1q3T5s2b9fbbb9eZWOJEM2fO1Kuvvqrvv/9eP/zwg+bNm6ekpCTFxsa2wpEAAPwJIQoA0GY9+uij2r59u3r06KH4+HhJUr9+/bRkyRL98MMPOv/883XOOefo4YcfVkpKyim3FRUVpSeffFKDBw9WTk6Otm/frvfee08OB/9XCgDtjWWMMXYXAQAAAACBgn8+AwAAAIBGIEQBAAAAQCMQogAAAACgEQhRAAAAANAIhCgAAAAAaARCFAAAAAA0AiEKAAAAABqBEAUAAAAAjUCIAgAAAIBGIEQBAAAAQCMQogAAAACgEf4/0Bu6Dy1WprQAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1000x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pyplot.figure(figsize=(10, 3), dpi=100).set_facecolor(\"white\")\n",
    "pyplot.plot(losses)\n",
    "pyplot.xlabel(\"iters\")\n",
    "pyplot.ylabel(\"loss\")\n",
    "pyplot.yscale(\"log\")\n",
    "pyplot.title(\"Convergence of SVI\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pyplot.figure(figsize=(10, 4), dpi=100).set_facecolor(\"white\")\n",
    "for name, grad_norms in gradient_norms.items():\n",
    "    pyplot.plot(grad_norms, label=name)\n",
    "pyplot.xlabel(\"iters\")\n",
    "pyplot.ylabel(\"gradient norm\")\n",
    "pyplot.yscale(\"log\")\n",
    "pyplot.legend(loc=\"best\")\n",
    "pyplot.title(\"Gradient norms during SVI\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can now examine the guide's local `assignment_probs` variable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "assignment_probs = pyro.param(\"assignment_probs\")\n",
    "pyplot.figure(figsize=(8, 3), dpi=100).set_facecolor(\"white\")\n",
    "pyplot.plot(\n",
    "    data.data.numpy(),\n",
    "    assignment_probs.data.numpy()[:, 0],\n",
    "    \"ro\",\n",
    "    label=f\"component with mean {locs[0]:0.2g}\",\n",
    ")\n",
    "pyplot.plot(\n",
    "    data.data.numpy(),\n",
    "    assignment_probs.data.numpy()[:, 1],\n",
    "    \"bo\",\n",
    "    label=f\"component with mean {locs[1]:0.2g}\",\n",
    ")\n",
    "pyplot.title(\"Mixture assignment probabilities\")\n",
    "pyplot.xlabel(\"data value\")\n",
    "pyplot.ylabel(\"assignment probability\")\n",
    "pyplot.legend(loc=\"center\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## MCMC\n",
    "\n",
    "Next we'll explore the full posterior over component parameters using collapsed NUTS, i.e. we'll use NUTS and marginalize out all discrete latent variables."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sample: 100%|██████████████████████████████████████████| 300/300 [00:12, 23.57it/s, step size=4.38e-01, acc. prob=0.951]                                             \n"
     ]
    }
   ],
   "source": [
    "from pyro.infer.mcmc.api import MCMC\n",
    "from pyro.infer.mcmc import NUTS\n",
    "\n",
    "pyro.set_rng_seed(2)\n",
    "kernel = NUTS(model)\n",
    "mcmc = MCMC(kernel, num_samples=250, warmup_steps=50)\n",
    "mcmc.run(data)\n",
    "posterior_samples = mcmc.get_samples()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "X, Y = posterior_samples[\"locs\"].T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pyplot.figure(figsize=(8, 8), dpi=100).set_facecolor(\"white\")\n",
    "h, xs, ys, image = pyplot.hist2d(X.numpy(), Y.numpy(), bins=[20, 20])\n",
    "pyplot.contour(\n",
    "    np.log(h + 3).T,\n",
    "    extent=[xs.min(), xs.max(), ys.min(), ys.max()],\n",
    "    colors=\"white\",\n",
    "    alpha=0.8,\n",
    ")\n",
    "pyplot.title(\"Posterior density as estimated by collapsed NUTS\")\n",
    "pyplot.xlabel(\"loc of component 0\")\n",
    "pyplot.ylabel(\"loc of component 1\")\n",
    "pyplot.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that due to nonidentifiability of the mixture components the likelihood landscape has two equally likely modes, near `(11,0.5)` and `(0.5,11)`. NUTS has difficulty switching between the two modes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pyplot.figure(figsize=(8, 3), dpi=100).set_facecolor(\"white\")\n",
    "pyplot.plot(X.numpy(), color=\"red\")\n",
    "pyplot.plot(Y.numpy(), color=\"blue\")\n",
    "pyplot.xlabel(\"NUTS step\")\n",
    "pyplot.ylabel(\"loc\")\n",
    "pyplot.title(\"Trace plot of loc parameter during NUTS inference\")\n",
    "pyplot.tight_layout()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
